Office 2013 doesn't support XP, and Outlook 2013 doesn't support Exchange 2003.
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Microsoft suggest to install 32bit instead of 64bit. Refer to 64-bit editions of Office 2013 for details.
64-bit of Office 2013
“As more and more personal computers run 64-bit versions of Windows, it’s tempting to deploy the 64-bit version of Office 2013 to match. One benefit is that 64-bit Office allows users to work with larger sets of Excel and Project data. But, there are compatibility drawbacks for those users because Office add-ins and solutions might not work. That’s why 32-bit Office 2013 is recommended for most users.”
Standard system requirements for Office 2013
Office 2013 32-bit products are supported on the following Windows operating systems:
- Windows 7 (32-bit or 64-bit)
- Windows 8 (32-bit or 64-bit)
- Windows 8.1 (32-bit or 64-bit)
- Windows Server 2008 R2 (64-bit)*
- Windows Server 2012 (64-bit)**
Office 2013 64-bit products are only supported on the following Windows operating systems:
- Windows 7 (64-bit)
- Windows 8 (64-bit)
- Windows 8.1 (64-bit)
- Windows Server 2008 R2 (64-bit)*
- Windows Server 2012 (64-bit)**
Microsoft Outlook 2013
Be sure to connect Outlook 2013 to the supported versions of Exchange: Exchange 2007, Exchange 2010, or Exchange Server 2013. Outlook 2013 is not supported on Exchange 2003.