31901011010913 has 16 divisors (see below), whose sum is σ = 46401962475456. Its totient is φ = 19333741103040.

The previous prime is 31901011010903. The next prime is 31901011010923.

31901011010913 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (31901011010903) and next prime (31901011010923).

It is not a de Polignac number, because 31901011010913 - 2¹⁸ = 31901010748769 is a prime.

It is a super-3 number, since 3×31901011010913³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (31901011010903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1934470 + ... + 8218527.

It is an arithmetic number, because the mean of its divisors is an integer number (2900122654716).

Almost surely, 2^{31901011010913} is an apocalyptic number.

31901011010913 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31901011010913 is a deficient number, since it is larger than the sum of its proper divisors (14500951464543).

31901011010913 is a wasteful number, since it uses less digits than its factorization.

31901011010913 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10248224.

The product of its (nonzero) digits is 729, while the sum is 30.

The spelling of 31901011010913 in words is "thirty-one trillion, nine hundred one billion, eleven million, ten thousand, nine hundred thirteen".