I thought it is a problem with Microsoft outlook 2013 but it seems to be a problem with outlook.com or Microsoft account.
My @live.com account  does not work with Microsoft outlook 2013.

I can send email that others receive but all folders(inbox, sent),calendar and contacts are empty.

In the systray is notification that "Microsoft outlook cannot connect to server".

This account works perfectly on Windows Phone and on the outlook.com
Also, there is no problem on Windows live mail app.

What makes things even more strange is that I have another @hotmail.com account and it there is no problem in outlook2013.

 All sync is as should ( mail, contacts, calendar).
 
However it works on pop3.live.com, but what is the point? I want to have full sync!

I am very disappointed.  After one week trying to solve problem with Microsoft office technical support (online chat, phone call, remote connection)

my issue remain unsolved. (They  tried set-up various servers settings: m.hotmail.com, blu-m.hotmail.com, dub-m.hotmail.com...all unsuccessfully.)

 Despite support and effort from Microsoft Office Outlook tech support , they decided to  close my issues as unsolved and advised me to contact 1- 800-386-5550( not very helpful number) or ask on this forum.

I'm hoping that you will have any thoughts, ideas how to tackle this problem.

many thanks for your help.

/WINDOWS 7 PRO Sp1, 64Bit, Intel i5 , Microsoft security essential/