With the release of SP1 for Exchange 2013 there is a new feature introduced MAPI over HTTP
Doing some testing in my Demolab. I have 2 Exchange 2013 servers with CU5 installed on Server 2012 (No R2)
Set-MapiVirtualDirectory -Identity “<servername>\mapi (Default Web Site)” -InternalUrl https://<fqdn>/mapi -IISAuthenticationMethods Negotiate
Set-OrganizationConfig -MapiHttpEnabled $true
Test-OutlookConnectivity –RunFromServerId <servername> -ProbeIdentity OutlookMapiHttpSelfTestProbe
I get the following error…. 
After Download & Install DotNet 4.5.2 but still not working… Keep your informed!