13011313257675 has 96 divisors (see below), whose sum is σ = 24007185941760. Its totient is φ = 6908928480000.

The previous prime is 13011313257671. The next prime is 13011313257721. The reversal of 13011313257675 is 57675231311031.

It is a happy number.

13011313257675 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 1 + 3 + 1 + 3 + 2 + 576 + 75 = 666.

It is not a de Polignac number, because 13011313257675 - 2² = 13011313257671 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 13011313257675.

It is not an unprimeable number, because it can be changed into a prime (13011313257671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 459635872 + ... + 459664178.

It is an arithmetic number, because the mean of its divisors is an integer number (250074853560).

Almost surely, 2^{13011313257675} is an apocalyptic number.

13011313257675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13011313257675 is a deficient number, since it is larger than the sum of its proper divisors (10995872684085).

13011313257675 is a wasteful number, since it uses less digits than its factorization.

13011313257675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31290 (or 31279 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 13011313257675 in words is "thirteen trillion, eleven billion, three hundred thirteen million, two hundred fifty-seven thousand, six hundred seventy-five".