31001410013 has 12 divisors (see below), whose sum is σ = 36069873372. Its totient is φ = 26567472960.

The previous prime is 31001410009. The next prime is 31001410079.

31001410013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 21487748569 + 9513661444 = 146587^2 + 97538^2 .

It is not a de Polignac number, because 31001410013 - 2² = 31001410009 is a prime.

It is a super-2 number, since 2×31001410013² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 31001410013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31001410003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204881 + ... + 322457.

It is an arithmetic number, because the mean of its divisors is an integer number (3005822781).

Almost surely, 2^31001410013 is an apocalyptic number.

It is an amenable number.

31001410013 is a deficient number, since it is larger than the sum of its proper divisors (5068463359).

31001410013 is a wasteful number, since it uses less digits than its factorization.

31001410013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122972 (or 122965 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The spelling of 31001410013 in words is "thirty-one billion, one million, four hundred ten thousand, thirteen".