22131322213113 has 24 divisors (see below), whose sum is σ = 32056657019400. Its totient is φ = 14713074296064.

The previous prime is 22131322213067. The next prime is 22131322213139. The reversal of 22131322213113 is 31131222313122.

22131322213113 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 322 + 21 + 311 + 3 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7399335709584 + 14731986503529 = 2720172^2 + 3838227^2 .

It is not a de Polignac number, because 22131322213113 - 2¹⁶ = 22131322147577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22131322215113) 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, 9674631 + ... + 11741427.

It is an arithmetic number, because the mean of its divisors is an integer number (1335694042475).

Almost surely, 2^{22131322213113} is an apocalyptic number.

It is an amenable number.

22131322213113 is a deficient number, since it is larger than the sum of its proper divisors (9925334806287).

22131322213113 is a wasteful number, since it uses less digits than its factorization.

22131322213113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070121 (or 2070118 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

Adding to 22131322213113 its reverse (31131222313122), we get a palindrome (53262544526235).

The spelling of 22131322213113 in words is "twenty-two trillion, one hundred thirty-one billion, three hundred twenty-two million, two hundred thirteen thousand, one hundred thirteen".