13500315312 has 40 divisors (see below), whose sum is σ = 38046344640. Its totient is φ = 4091004480.

The previous prime is 13500315299. The next prime is 13500315317. The reversal of 13500315312 is 21351300531.

13500315312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13500315317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12783862 + ... + 12784917.

It is an arithmetic number, because the mean of its divisors is an integer number (951158616).

Almost surely, 2^13500315312 is an apocalyptic number.

13500315312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13500315312 is an abundant number, since it is smaller than the sum of its proper divisors (24546029328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13500315312 is a wasteful number, since it uses less digits than its factorization.

13500315312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25568801 (or 25568795 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 13500315312 its reverse (21351300531), we get a palindrome (34851615843).

The spelling of 13500315312 in words is "thirteen billion, five hundred million, three hundred fifteen thousand, three hundred twelve".