I found out that opening very large mailboxes (several GB’s) using Outlook 2013 (32 bit) I ran into a not enough free memory problem :
After some troubleshooting I found out that there are 2 solutions. The first one is completely disable caching of the mailbox. But that was not a working solution for me, because sometimes I want to open my email without a working internet connection. This is the solution that worked for me :
Leave use cached exchange mode on, and clear (disable) the download shared folders and download public favorites.
I’ve never seen the error since!