31001023213013 has 32 divisors (see below), whose sum is σ = 36653260492800. Its totient is φ = 25673756448384.

The previous prime is 31001023213007. The next prime is 31001023213093. The reversal of 31001023213013 is 31031232010013.

It is a cyclic number.

It is not a de Polignac number, because 31001023213013 - 2⁴ = 31001023212997 is a prime.

It is a super-2 number, since 2×31001023213013² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31001023213093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3613256 + ... + 8663582.

It is an arithmetic number, because the mean of its divisors is an integer number (1145414390400).

Almost surely, 2^{31001023213013} is an apocalyptic number.

It is an amenable number.

31001023213013 is a deficient number, since it is larger than the sum of its proper divisors (5652237279787).

31001023213013 is a wasteful number, since it uses less digits than its factorization.

31001023213013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5050649.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 31001023213013 its reverse (31031232010013), we get a palindrome (62032255223026).

The spelling of 31001023213013 in words is "thirty-one trillion, one billion, twenty-three million, two hundred thirteen thousand, thirteen".