31145002252001 has 16 divisors (see below), whose sum is σ = 34712881862400. Its totient is φ = 27700347991680.

The previous prime is 31145002251997. The next prime is 31145002252057. The reversal of 31145002252001 is 10025220054113.

It is a cyclic number.

It is not a de Polignac number, because 31145002252001 - 2² = 31145002251997 is a prime.

It is a super-2 number, since 2×31145002252001² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31145002222001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10498916 + ... + 13134581.

It is an arithmetic number, because the mean of its divisors is an integer number (2169555116400).

Almost surely, 2^{31145002252001} is an apocalyptic number.

It is an amenable number.

31145002252001 is a deficient number, since it is larger than the sum of its proper divisors (3567879610399).

31145002252001 is a wasteful number, since it uses less digits than its factorization.

31145002252001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23636104.

The product of its (nonzero) digits is 2400, while the sum is 26.

The spelling of 31145002252001 in words is "thirty-one trillion, one hundred forty-five billion, two million, two hundred fifty-two thousand, one".