iTunes Error 4013 and Restore/Charging Problem

The error generally comes up when iTunes doesnt validate some sort of hardware.

Things to try;

step one) computer issues, try New OEM cable (straight from apple, no third party stuff), Different Port, Delete your Apple Hosts, reinstall and fully update itunes.

step two) Phone issues, this error can occur with third party parts. if you have had a repair done on the device, you may need to find an OEM part to replace that part with, if only temporarily. (IE: Screen replacements, charge ports etc) There could also be a problem with the port, even if it is OEM. try a new one of those regardless

step three) you mentioned the NAND replacement? NAND errors generally arent solved by a factory reset. The error comes up most frequently after failed repair attempts. Sometimes it can be fixed by replacing the proximity sensor flex, and other times, it is a board level failure. If you DO need to replace a NAND chipset, you are looking at a lot of work, as it is thermal capped into the board, and removal usually causes more damage than help. It requires a 10X microscope, tweasers, a concentrated variable hot air gun (not a heat gun), a steady hand, and a patient mind. usually a few hundred boards of experience as well before doing it properly.