13122144122131 has 32 divisors (see below), whose sum is σ = 14704042233600. Its totient is φ = 11609175600000.

The previous prime is 13122144122093. The next prime is 13122144122161.

13122144122131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13122144122131 - 2¹⁵ = 13122144089363 is a prime.

It is a super-2 number, since 2×13122144122131² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13122144122131.

It is not an unprimeable number, because it can be changed into a prime (13122144122161) 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, 648990540 + ... + 649010758.

It is an arithmetic number, because the mean of its divisors is an integer number (459501319800).

Almost surely, 2^{13122144122131} is an apocalyptic number.

13122144122131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13122144122131 is a deficient number, since it is larger than the sum of its proper divisors (1581898111469).

13122144122131 is a wasteful number, since it uses less digits than its factorization.

13122144122131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30291.

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

It can be divided in two parts, 1312214 and 4122131, that added together give a palindrome (5434345).

The spelling of 13122144122131 in words is "thirteen trillion, one hundred twenty-two billion, one hundred forty-four million, one hundred twenty-two thousand, one hundred thirty-one".