my english isn't good, but I will try to explain my success. I get several time the 4013 error. Ok, my System is iPod touche and Windows 7. When iTunes try to transfer the iOS7, the iPod wait 2 minute and I get the error 4013. But I hear the connection sound. I mean the sound, when you connect a device with your PC over the USB interface. Now my solution: (IT WORKS FOR WINDOWS7)
1. I start the recovery Process again.
2. The iPod shows me the apple icon with the progessbar.
3. I hear the sound, when you disconnect an USB device.
4. I start the DEVICEMANAGER
- right mouse click on "Apple Mobile Device USB Driver" - The driver start with an exclamation mark sign it means the driver doesn't work.
5. select UPDATE DRIVER
6. Press searche on your machine for drivers
7. Select the following path
C:\Program Files\Common Files\Apple\Mobile Device Support\Drivers
8. Select the following file
usbaapl64.inf
After it, I see the progressbar change. Now my iPod touche works well.