From whom did you purchase Premiere Elements 13 and how many days since the date of purchase?
Are you working from a Student and Teacher Edition of the product? What computer operating system is involved?
You need to determine if you are dealing with a Product Code, Redemption Code, or Serial Number.
Please check out the following
Also, are you doing the installation with the antivirus and firewall(s) disabled?
Please review the above and then let us know the outcome.