Microsoft will not provide notification before implementing potentially disruptive changes that may result in a service interruption for users of the 2013 versions of Office 365 client applications.See the following Microsoft website: Security Bulletin Severity Rating System. Microsoft will continue to release critical and important security updates for these versions of the products until April 10, 2018.Microsoft will no longer provide support for these versions of the products through Customer Service and Support (CSS) or Microsoft Premier Support. Today, though, its launching in a more formal way: the final version of Office 2013 is now on sale, as is Office 365 Home Premium, which lets you purchase a subscription to Office 2013 and then.Microsoft will not release any feature updates for these versions of the products.An updated 2013 version of the Office Deployment Tool will be released that will no longer support the installation of Office 365 client applications. Office 365 Home Premium is Microsofts name for one of its many varieties of Office 2013 in this case, the subscription-based affair that you download from the cloud and use on your disk in.All 2013 versions of Office 365 client applications (32 and 64-bit) and all language packs will no longer be available for installation from the Office 365 Admin Center.Support for the 2013 versions of Office 365 ProPlus ends February 28, 2017

Here is the Microsoft support article that has much more details about this change:

Office 365 home download 2013