I do not have onenote 2013. I do have onenote 2010. In the devices and printers area I also do not see the onenote option. I have the printer I want to use selected.
What Adobe software are you using where you are seeing this issue?
A google search for 'printing to onenote 2010 not working' brings up many results. You may want to try there?
in most cases the default printer is set by the os ('control panel' for windows systems) and not by any Adobe products