13312315053 has 12 divisors (see below), whose sum is σ = 19544128188. Its totient is φ = 8729386560.

The previous prime is 13312315033. The next prime is 13312315067. The reversal of 13312315053 is 35051321331.

13312315053 is a `hidden beast` number, since 1 + 33 + 123 + 1 + 505 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 152324964 + 13159990089 = 12342^2 + 114717^2 .

It is not a de Polignac number, because 13312315053 - 2¹⁴ = 13312298669 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13312315033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12123600 + ... + 12124697.

It is an arithmetic number, because the mean of its divisors is an integer number (1628677349).

Almost surely, 2^13312315053 is an apocalyptic number.

It is an amenable number.

13312315053 is a deficient number, since it is larger than the sum of its proper divisors (6231813135).

13312315053 is a wasteful number, since it uses less digits than its factorization.

13312315053 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24248364 (or 24248361 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 13312315053 its reverse (35051321331), we get a palindrome (48363636384).

The spelling of 13312315053 in words is "thirteen billion, three hundred twelve million, three hundred fifteen thousand, fifty-three".