Please Help: Attempted install of new IOS 7 for iPhone - cell then requested to be plugged into iTunes - told it was in recovery mode - tried to restore - got error 4013

Question

After attempting to install the new update, my iPhone is requesting to be pugged into iTunes. On the screen is a picture of iTunes and a cord. When I plug it into my MacBook air it will no recognzie it - though it did so in the past. I attempted a number, if not all, suggested I could find posted but nohting worked. As per one reconmondation, I have attempted to plug it into my PC (Which I don't use often - so I had to do all the updates). My PC recognized the phone and said that my phone was in recovery mode. So, I allowed iTunes to do its thing - iTunes said it was installing updates and recovering the phone (which took about an hour). When it was done, iTunes informed me that the phone needed recovery. So, I clicked recovery. It went through its thing then popped up with an error message 4013. When I requestion further information (button on the bottom), it opens a blank workd document (not really sure what that is about). After the error message, I reset the compuer and plugged it back in. Clicked the restore button but I received the same error message again.
I have also tried to plug it back into my Mac but still no luck.
On both my Mac and PC I have
- Done all the update to both software and iTunes,
- Reset the computer (multiple times)
- reset the phone - but the picure of iTunes and cord remains
- tried different cords
- disabled my security settings
- tried different USB ports
I am at a loss. This is my only phone so I am unable to call apple support. Plus I live in a small town, so there are no apple aproved stores near by.
Thank you in advance for your help

Answer 1

Spent hours trying everything suggested and finally this morning hit on a solution. iTunes must be run as an administrator. Even though you are logged into your PC as an administrator, using the iTunes shortcut does not make you an administrator in iTunes. I found this out by using the diagnostics in iTunes and reading through the results report.
I am using Windows 7, so I clicked the start button and right clicked on iTunes and selected "Run as an adimistrator". The first restore attempt got the 4013 error. I then did the DFU thing, hold power and home buttons for 10 seconds, release power and continue holding home for 10 more seconds.
iTunes gave me the restore message and I clicked it. I clicked the restore iPhone button and it started. The drivers loaded a couple of times. I got the apple logo with the progress bar and this time instead of disappearing, it started to fill in.
End result, a successful restore to factory settings and a happy 14 year old.
Hope this helps others.