I tried syncing my iPhone yesterday, and got an “unable to sync, error 13019” error message.
Some quick googling landed me on this Apple support page (Error 13019 during sync), which recommended de-selecting syncing voice memos and trying to sync again. If that failed (yup), de-select syncing music to try again (failed). Then videos, podcasts, etc. until a successful sync could be performed. All of this failed, so the page recommended I “attempt to sync an empty iTunes music library to the device while logged in as a new admin user”. Ugh! No!
What eventually worked for me: looking through the Voice Memos app, finding 8 of the same voice memo, deleting them all then syncing. Hmph.