Changing rows in tables of OneNote 2013 is super intuitive: Use the little sign to the left of the row and drag it to the new location. Marking more than one line works as well In the same way two tables can be merged together (just by click and drop).
For columns this is a lot clumsier. The only solution that works for me is to create a new empty column (via the menus), copy the to-be-moved column (CTRL+C), paste it (CTRL+V) in the empty column and delete the old instance (mark and delete). Cut & paste regularly leads to Onenote inserting the to-be-copied column BELOW the column to the left (at least if there is only two columns in total).
Any suggestions?