31023000032013 has 12 divisors (see below), whose sum is σ = 48884727323328. Its totient is φ = 18801818201160.

The previous prime is 31023000031993. The next prime is 31023000032041.

31023000032013 is a `hidden beast` number, since 31 + 0 + 2 + 300 + 0 + 0 + 320 + 13 = 666.

31023000032013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31023000032013 - 2⁹ = 31023000031501 is a prime.

It is a super-3 number, since 3×31023000032013³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31023000037013) 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 11 ways as a sum of consecutive naturals, for example, 156681818245 + ... + 156681818442.

It is an arithmetic number, because the mean of its divisors is an integer number (4073727276944).

Almost surely, 2^{31023000032013} is an apocalyptic number.

31023000032013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31023000032013 is a deficient number, since it is larger than the sum of its proper divisors (17861727291315).

31023000032013 is a wasteful number, since it uses less digits than its factorization.

31023000032013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313363636704 (or 313363636701 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

It can be divided in two parts, 310230000 and 32013, that added together give a palindrome (310262013).

The spelling of 31023000032013 in words is "thirty-one trillion, twenty-three billion, thirty-two thousand, thirteen".