131444444131 has 64 divisors (see below), whose sum is σ = 183033446400. Its totient is φ = 91053849600.

The previous prime is 131444444123. The next prime is 131444444171.

131444444131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131444444131 - 2³ = 131444444123 is a prime.

It is a super-2 number, since 2×131444444131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131444444111) 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, 11867326 + ... + 11878396.

It is an arithmetic number, because the mean of its divisors is an integer number (2859897600).

Almost surely, 2^131444444131 is an apocalyptic number.

131444444131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131444444131 is a deficient number, since it is larger than the sum of its proper divisors (51589002269).

131444444131 is a wasteful number, since it uses less digits than its factorization.

131444444131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11540.

The product of its digits is 36864, while the sum is 34.

It can be divided in two parts, 131444 and 444131, that added together give a palindrome (575575).

The spelling of 131444444131 in words is "one hundred thirty-one billion, four hundred forty-four million, four hundred forty-four thousand, one hundred thirty-one".