31164561363001 has 32 divisors (see below), whose sum is σ = 34496720916480. Its totient is φ = 27917028172800.

The previous prime is 31164561362993. The next prime is 31164561363049. The reversal of 31164561363001 is 10036316546113.

It is a cyclic number.

It is not a de Polignac number, because 31164561363001 - 2³ = 31164561362993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31164561363071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3114271140 + ... + 3114281146.

It is an arithmetic number, because the mean of its divisors is an integer number (1078022528640).

Almost surely, 2^{31164561363001} is an apocalyptic number.

It is an amenable number.

31164561363001 is a deficient number, since it is larger than the sum of its proper divisors (3332159553479).

31164561363001 is a wasteful number, since it uses less digits than its factorization.

31164561363001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16885.

The product of its (nonzero) digits is 116640, while the sum is 40.

The spelling of 31164561363001 in words is "thirty-one trillion, one hundred sixty-four billion, five hundred sixty-one million, three hundred sixty-three thousand, one".