31272627213 has 12 divisors (see below), whose sum is σ = 45173791260. Its totient is φ = 20847394176.

The previous prime is 31272627187. The next prime is 31272627223.

31272627213 is a `hidden beast` number, since 3 + 1 + 2 + 7 + 2 + 627 + 21 + 3 = 666.

31272627213 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 27916394724 + 3356232489 = 167082^2 + 57933^2 .

It is not a de Polignac number, because 31272627213 - 2²⁴ = 31255849997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31272627223) 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, 139183 + ... + 286211.

It is an arithmetic number, because the mean of its divisors is an integer number (3764482605).

Almost surely, 2^31272627213 is an apocalyptic number.

It is an amenable number.

31272627213 is a deficient number, since it is larger than the sum of its proper divisors (13901164047).

31272627213 is a wasteful number, since it uses less digits than its factorization.

31272627213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170668 (or 170665 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The spelling of 31272627213 in words is "thirty-one billion, two hundred seventy-two million, six hundred twenty-seven thousand, two hundred thirteen".