iPhone 13 Rumored to Have Up to 1TB of Storage--But Is Apple Way Behind Samsung and Asus? The new iPhone 13 rumors point to the phone potentially having up to 1TB of storage. This feature, however, isn't new as ASUS and Samsung already have it. Photo : EverythingApplePro EAP/YouTube Aside from a smartphone's camera and speed capabilities, the memory is also vital. Although there are micro SDs that can be used in order to improve the smartphone memory, a number of users still prefer having additional storage on the phone itself. Now, a new rumor is circulating that the upcoming Apple iPhone 13 will be having up to 1TB of storage.