At the outset, you need to check that your internet connection is working or not. iTunes error 0xE8000013 also occurs because of the slow internet speed. Make sure to give an online speed test in order to check the performance of your internet. You cannot play or upload videos if you have slow internet speed.
Afterwards, verify that there are no driver problems on your system. In case you have corrupt and outdated drivers, it will cause the error messages when you try to run a specific program. So it is advised to refresh the device drivers by updating them in order to run your machine immediately.
Make sure to properly connect iPhone with your high speed USB 2.0 port on the operating system.
If the problem still persists then you have to delete all the damaged apps from iPhone, and re-connect your device with computer. After that re-install the app and restart iTunes to sync for one more time.
Finally all the errors have been removed. If these steps do not resolve the issue then there might be problem in your Windows registry, and you have to fix it on priority basis in order to avoid iTunes error 0xE8000013.