If you just try launching Excel from the start menu does it start up OK?
If not, then we're into diagnosing startup problems - see below.
If so, then it's an OLE Automation issue. A repair of Office 2013 from Control Panel > Programs and Features would be worth a go.
Startup problems:
First see if it happens in Safe Mode. Hold down the Ctrl key while launching Excel.
If it doesn't happen then the problem is caused by some add-in or a workbook that is loaded on startup. Disable all add-ins ( File > Options > Add-Ins ). Move any files from your XLSTART folders. Make sure File > Options > Advanced > General > At startup, open all files in: is blank.
You can then add things you need back in one at a time, restarting Excel and so discover which is causing the problem.
If it still happens in Safe Mode, try doing a repair from Control Panel > Programs and Features > Microsoft Office.
If it still happens after that,
Start button > Event Viewer (in the search box) > Windows Logs > Application > Look down the list for an Error : Application Error.
The faulting module name will give some clues as to what is crashing
Copy the information about the error and post it here.