31303011032001 has 20 divisors (see below), whose sum is σ = 46761718496724. Its totient is φ = 20868481936800.

The previous prime is 31303011031907. The next prime is 31303011032039. The reversal of 31303011032001 is 10023011030313.

It is a happy number.

31303011032001 is a `hidden beast` number, since 3 + 1 + 30 + 301 + 10 + 320 + 0 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19621134680625 + 11681876351376 = 4429575^2 + 3417876^2 .

It is not a de Polignac number, because 31303011032001 - 2⁹ = 31303011031489 is a prime.

It is a super-2 number, since 2×31303011032001² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31303011032701) 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 19 ways as a sum of consecutive naturals, for example, 7364191 + ... + 10809131.

Almost surely, 2^{31303011032001} is an apocalyptic number.

It is an amenable number.

31303011032001 is a deficient number, since it is larger than the sum of its proper divisors (15458707464723).

31303011032001 is a wasteful number, since it uses less digits than its factorization.

31303011032001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3557134 (or 3557125 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 31303011032001 its reverse (10023011030313), we get a palindrome (41326022062314).

The spelling of 31303011032001 in words is "thirty-one trillion, three hundred three billion, eleven million, thirty-two thousand, one".