13122000022131 has 144 divisors (see below), whose sum is σ = 27426886931808. Its totient is φ = 5922133862400.

The previous prime is 13122000022099. The next prime is 13122000022169.

13122000022131 is a `hidden beast` number, since 1 + 312 + 200 + 0 + 0 + 22 + 131 = 666.

13122000022131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13122000022131 - 2⁵ = 13122000022099 is a prime.

It is a super-2 number, since 2×13122000022131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13122000022171) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5047860 + ... + 7192001.

It is an arithmetic number, because the mean of its divisors is an integer number (190464492582).

Almost surely, 2^{13122000022131} is an apocalyptic number.

13122000022131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13122000022131 is an abundant number, since it is smaller than the sum of its proper divisors (14304886909677).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13122000022131 is a wasteful number, since it uses less digits than its factorization.

13122000022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12239922 (or 12239912 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 131220000 and 22131, that added together give a palindrome (131242131).

The spelling of 13122000022131 in words is "thirteen trillion, one hundred twenty-two billion, twenty-two thousand, one hundred thirty-one".