Processes in Microsoft 365 for setting up Office apps, redeeming product keys, and activating licenses.
Hi,
Thank you for posting in Microsoft Community.
As per the issue description, you lost Office 2013 application due to system crash.
Let me help you with the reinstallation of Office 2013.
From where did you purchase Office 2013?
You may sign in to www.office.com/myaccount and check if it displays the Office in the account page.
If it displays the account information you can download Office 2013 using link below and check if you are able to download, install and activate Office 2013:
https://officesetup.getmicrosoftkey.com/
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.
Thank you.