13106522560131 has 384 divisors, whose sum is σ = 27535550515200. Its totient is φ = 5781372641280.

The previous prime is 13106522560121. The next prime is 13106522560139.

13106522560131 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 65 + 2 + 2 + 560 + 1 + 31 = 666.

13106522560131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13106522560131 - 2³³ = 13097932625539 is a prime.

It is a super-2 number, since 2×13106522560131² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13106522560139) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3603661245 + ... + 3603664881.

It is an arithmetic number, because the mean of its divisors is an integer number (71707162800).

Almost surely, 2^{13106522560131} is an apocalyptic number.

13106522560131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13106522560131 is an abundant number, since it is smaller than the sum of its proper divisors (14429027955069).

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

13106522560131 is a wasteful number, since it uses less digits than its factorization.

13106522560131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4296 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

It can be divided in two parts, 1310652 and 2560131, that added together give a palindrome (3870783).

The spelling of 13106522560131 in words is "thirteen trillion, one hundred six billion, five hundred twenty-two million, five hundred sixty thousand, one hundred thirty-one".