This work bring different ways of representing prime magic squares multiples of order 13. It is based on some central prime constants. These are C0:= 499979, C1:=1000003 and C2:=2000003. The multiple blocks are considered based on these prime constants. Two different types are considered. One type is concentric blocks of order 13, and the second type is prime magic square of order 13 nested with a prime magic square of order 9 composed of different sums prime magic squares of order 3. For each type there are two ways of representations. First, when all blocks are of equal size. Second, when the blocks are of equal sums for the orders 39 composed of different sums prime magic squares of order 13. Some initial works based on block-structured and/or block-bordered prime magic squares for the orders 6 to 51 are given by the author. See the referenced list. The author also presented higher-order concentric single-layer bordered prime magic squares of orders 1222 and 1223. A different work for prime magic squares of orders 960, 1220 and 1024 blocks of orders 3 and 4 is also given by the author. For higher-order multiples of 3, 4, 5, 6, 7, 9, 10 and 11 refer author's work in reference list. The excel sheets of complete work are also attached.