I have an iphone 5s, does not boot, blinking white screen with black logo, when trying itunes restore from mac and pc, error code 4013 which is usb error, any ideas?

I have an iphone 5s, does not boot, blinking white screen with black logo, when trying itunes restore from mac and pc, error code 4013 which is usb error, any ideas? Does a totally dead battery have that effect? I have had it plugged in to a computer overnight, but maybe does not charge when totally dead?

Please help, thanks in advance all1