31011611013 has 24 divisors (see below), whose sum is σ = 47591614200. Its totient is φ = 19421990784.

The previous prime is 31011611011. The next prime is 31011611041.

31011611013 is a `hidden beast` number, since 31 + 0 + 11 + 611 + 0 + 13 = 666.

31011611013 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 4637201409 + 26374409604 = 68097^2 + 162402^2 .

It is not a de Polignac number, because 31011611013 - 2¹ = 31011611011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31011611011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1595998 + ... + 1615311.

It is an arithmetic number, because the mean of its divisors is an integer number (1982983925).

Almost surely, 2^31011611013 is an apocalyptic number.

It is an amenable number.

31011611013 is a deficient number, since it is larger than the sum of its proper divisors (16580003187).

31011611013 is a wasteful number, since it uses less digits than its factorization.

31011611013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3211381 (or 3211378 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The spelling of 31011611013 in words is "thirty-one billion, eleven million, six hundred eleven thousand, thirteen".