31004440013 has 16 divisors (see below), whose sum is σ = 34353849600. Its totient is φ = 27831826176.

The previous prime is 31004440007. The next prime is 31004440057.

It is a happy number.

31004440013 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31004440013 - 2¹⁴ = 31004423629 is a prime.

It is a super-2 number, since 2×31004440013² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31004440073) 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, 22856 + ... + 250062.

It is an arithmetic number, because the mean of its divisors is an integer number (2147115600).

Almost surely, 2^31004440013 is an apocalyptic number.

It is an amenable number.

31004440013 is a deficient number, since it is larger than the sum of its proper divisors (3349409587).

31004440013 is a wasteful number, since it uses less digits than its factorization.

31004440013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227596.

The product of its (nonzero) digits is 576, while the sum is 20.

The spelling of 31004440013 in words is "thirty-one billion, four million, four hundred forty thousand, thirteen".