1. MS Office 2013 (code named Office 15) is the next generation of MS Office destine to replace MS Office 2010. This is for consumers and business or other institutions, as the usual w/ Office.
2. Office 365 - Basically a suite for Enterprise/SMBs of Cloud Services, including Exchange On-line, Share Point On-line & more. Office for corp in the Cloud. Here's a bunch of sites about it, Office 365 - Bing
I just started using Office 2013 yesterday. Naturally, I want more time w/ it. But, I do know there are features & abilities in it making a level of sophistication well above Office 2010. We have known, w/ some excitement & interest that this new version was coming for a long time. Also, we have been expecting it to be released around the same time as Windows8.
Office 365 has been around & looming, initially in beta for many months. @least last year we were discussing & learning it. Mainly, since it is one of the products that fall under the BPOS (Business Productivity On-line Services) offerings or Cloud Services. I happen to be aware of all this as I am BPOS Certified as a Microsoft Cloud Agent... just simply means I can sell the stuff. Office 365 is a terrific thing for SMBs, especially considering its price-point.
Other Cloud Services are things like InTune, Azure, MS Dynamics, CRM & slew of other products & services for commercial environments. And, now, Office 365.
I realise that many people may, already, be aware of the above info
Cheers,
Drew