13124122142131 has 32 divisors (see below), whose sum is σ = 17661338956800. Its totient is φ = 9418424446080.

The previous prime is 13124122142129. The next prime is 13124122142137.

13124122142131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13124122142131 - 2¹ = 13124122142129 is a prime.

It is a super-2 number, since 2×13124122142131² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13124122142131.

It is not an unprimeable number, because it can be changed into a prime (13124122142137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14493376 + ... + 15372253.

It is an arithmetic number, because the mean of its divisors is an integer number (551916842400).

Almost surely, 2^{13124122142131} is an apocalyptic number.

13124122142131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13124122142131 is a deficient number, since it is larger than the sum of its proper divisors (4537216814669).

13124122142131 is a wasteful number, since it uses less digits than its factorization.

13124122142131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29866099.

The product of its digits is 2304, while the sum is 28.

It can be divided in two parts, 1312412 and 2142131, that added together give a palindrome (3454543).

The spelling of 13124122142131 in words is "thirteen trillion, one hundred twenty-four billion, one hundred twenty-two million, one hundred forty-two thousand, one hundred thirty-one".