13122122122131 has 16 divisors (see below), whose sum is σ = 19088617282560. Its totient is φ = 7952012037920.

The previous prime is 13122122122127. The next prime is 13122122122133.

13122122122131 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 13122122122131 - 2² = 13122122122127 is a prime.

It is a super-2 number, since 2×13122122122131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13122122122133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19393560 + ... + 20058773.

It is an arithmetic number, because the mean of its divisors is an integer number (1193038580160).

Almost surely, 2^{13122122122131} is an apocalyptic number.

13122122122131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13122122122131 is a deficient number, since it is larger than the sum of its proper divisors (5966495160429).

13122122122131 is a wasteful number, since it uses less digits than its factorization.

13122122122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39462426.

The product of its digits is 576, while the sum is 24.

It can be divided in two parts, 1312212 and 2122131, that added together give a palindrome (3434343).

The spelling of 13122122122131 in words is "thirteen trillion, one hundred twenty-two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred thirty-one".