13122033022131 has 64 divisors (see below), whose sum is σ = 19427465088000. Its totient is φ = 7812081728000.

The previous prime is 13122033022097. The next prime is 13122033022237.

13122033022131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13122033022131 - 2⁶ = 13122033022067 is a prime.

It is a super-2 number, since 2×13122033022131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13122033024131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440484385 + ... + 440514173.

It is an arithmetic number, because the mean of its divisors is an integer number (303554142000).

Almost surely, 2^{13122033022131} is an apocalyptic number.

13122033022131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13122033022131 is a deficient number, since it is larger than the sum of its proper divisors (6305432065869).

13122033022131 is a wasteful number, since it uses less digits than its factorization.

13122033022131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30940.

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 1312203 and 3022131, that added together give a palindrome (4334334).

The spelling of 13122033022131 in words is "thirteen trillion, one hundred twenty-two billion, thirty-three million, twenty-two thousand, one hundred thirty-one".