I have an Unknown Error Code 13019 that has just appeared today. I have unticked the "Sync Music" box and then completed a sync without any music and then ticked it again and synced it back but I'm still getting this code. It's never happened before.

look at the article on this forum it should help you http://support.apple.com/kb/TS2830

Error 13019 during sync:
Please update to the latest version of iTunes. The latest version of iTunes can be downloaded from http://www.apple.com/itunes/download/. If updating to latest version of iTunes does not resolve the issue, continue:
Please follow the same steps if the error occurs while syncing content other than music (applications, podcasts, and so on), but deselect the content that stops the sync. Deselect one type of content, then attempt to sync. Continue until you sync without error. Deselect Apps last, since restoring your Apps would take longer than restoring other content.
Error occurs while syncing music: The error will most commonly occur while syncing music. This issue can be resolved by following these steps:
Select the iPhone or iPod touch in iTunes under Devices. Click the Music tab and under the Sync music option, choose Selected playlists. Deselect the Voice Memos playlist. Click Apply and then click Sync. If the above steps do not resolve the issue, check the device and the iTunes library for duplicate voice memos. If you find any duplicate voice memos, delete the duplicates and then sync.
If those steps do not resolve the issue, then follow these steps:
Select the iPhone or iPod touch in iTunes under Devices. Click the Music tab and deselect the Sync Music option. Click Apply and then click Sync. After the sync is complete, reselect the Sync Music option. Click Apply and then click Sync. Test in a new user account
If the steps above do not resolve the issue, attempt to sync with iTunes while logged in as a new admin user. Follow these steps to create a new administrator user:
Windows XP, Windows Vista, and Windows 7 From the Start menu, choose Control Panel. Open User Accounts. Select Create a new account and follow the instructions to complete the account setup process. Once the new account is created, choose Log Off from the Start menu. Log in to the newly created user account.
Mac OS X From the Apple menu, choose System Preferences. Choose View > Accounts. Click the "+" (you may need to authenticate to be able to click this). Give the new user account a name and short name and enter a password. Select the checkbox for "Allow user to administer this computer". This makes the user an admin user. Click Create Account. Log out and then log in to the new account. If the error does not occur in the new user account, other content is causing the error. Proceed to the next section.
If the error does occur in the new user account, the issue may be caused by content downloaded or created on the device, such as podcasts and voice memos. Removing content from the device may address the issue.

easiest way i have found to resolve the issue is go into itunes while phone is plugged in. you will have a list of tabs across, summery, info, ringtones, music. select music and where it displays sync music unselect that and hit apply in the bottom right (dont worry your music should be saved on the computer) once the sync is complete re check the music sync option. ive noticed this to work 95% of the time
hope this helps

• It is a problem with the Voice Memos.Delete the Memo in iTunes.Delete the Memo on the phone.Synced. Success.
• The problem is not limited to voice memos. The work-around listed of unchecking the "Sync music" box, then syncing, then rechecking the box, and syncing again, does seem to work.
• Another solution would be
• Go into iTunes while phone is plugged in. you will have a list of tabs across, summery, info, ringtones, music. select music and where it displays sync music unselect that and hit apply in the bottom right (dont worry your music should be saved on the computer) once the sync is complete re check the music sync option. ive noticed this to work 95% of the time......hope this helps

This error is usually resolved by updating to the latest version of iTunes. Currently, it is iTunes 10.

If the error still occurs after that, deselect the syncing of voice memos, or better yet, remove the check on the Sync Music checkbox then click Apply and immediately right after the sync is finish, check the Sync Music checkbox again and click Apply.

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There are various reasons for this issue like below shows.

The problems to cause "Can't sync iphone to computer. Error (13019) occurred" can be various. You can refer to the following aspects to check and fix this issue.
1. Maybe your iTunes version is outdated and you need to update it to the latest version to ensure it to work normally.
2. Maybe there is something wrong with the USB cord you are using. You can change a new cable to have a try.
3. Maybe your computer system needs to update. You can check out your Windows system and access to new updates to handle this issue.
4. Maybe your iPhone system version needs to be updated. You can go to "General" tab on iPhone to check for iOS updating and follow the on-screen instructions to make it.
If you fail to settle "Can't sync iphone to computer. Error (13019) occurred" by trying the 4 methods shown above, you can continue to read the below instruction to help you to realize your goal.

Check: How to Fix iTunes Not Recognizing iPhone in Windows 10

error (13019).is iPhone Sync Error if you uncheck ‘sync music’ box then sync your iphone it will sync correctly It is a problem that got to do with the Voice Memos although its not limited to voice memos if the problem persists try unchecking the sync voice memo

Untick the box to unsync all music on your iphone and then sync it again. Problem solved in a matter of seconds.

Quick resolution:
Connect your iphone
goto music tab
deselect:
Include Music Videos
Include Voice Memos
Automatically fill free space with ****

Now the important part.
Deselect (NOT DELETE) all your playlists so NO playlists or artists are selected. (emptying your iphone)
Let this SYNC ( you will see the iphone capacity how NO music )
once this syncs up.
Reselect your music playlists/artists.

All fixed :)