Hi,
This error may also occur if the Office installation is corrupted.
Do you have multiple version of Office installed in the computer?
Step 1:
You may run the fix it from the article below to remove corrupt Office 2013 keys from the computer:
http://support.microsoft.com/kb/2739501
Note: Try to save the fix it tool to the desktop and then run it to remove Office.
If fix it tool failed to run, you may try the manual removal of Office 2013 step from the above article.
Step 2:
Try the steps from the section Start an In Private browser session in the article below:
http://support.microsoft.com/kb/2811180
Once you complete the above mentioned steps, you may download Office 2013 using the link below and install it using the subscription license and verify the status
https://officesetup.getmicrosoftkey.com/
https://office.microsoft.com/MyAccount.aspx
I hope the above steps help. If you need further assistance on this particular issue or any other Office related issues let us know and we will be glad to assist you.