Quote from 'https://www.igeeksblog.com/how-to-fix-itunes-error-4014-4013/' comments:
Error 4013 fix that worked for me. Researched for 2 hours and resilient to try it but I am glad I did; so begin as normal which is hitting start update and agreeing to the stuff. Then as the screen starts to extract software from itunes and the iphone apple logo comes up (but doesn't load) UNPLUG data cable and plug it right back in. The bar should start moving.
For those software update without a computer; not sure if they are having this issue but hope this helps!
Anyway this is usually a hardware issue, NAND needs to be reprogrammed or reballed in most cases.