131444626444131 has 432 divisors, whose sum is σ = 249680493603072. Its totient is φ = 61212237166080.

The previous prime is 131444626444069. The next prime is 131444626444139.

131444626444131 is nontrivially palindromic in base 10.

131444626444131 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 131444626444131 - 2⁹ = 131444626443619 is a prime.

It is a super-2 number, since 2×131444626444131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131444626444139) by changing a digit.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 100878454026 + ... + 100878455328.

Almost surely, 2^{131444626444131} is an apocalyptic number.

131444626444131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131444626444131 is a deficient number, since it is larger than the sum of its proper divisors (118235867158941).

131444626444131 is a wasteful number, since it uses less digits than its factorization.

131444626444131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2312 (or 2281 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 131444626444131 in words is "one hundred thirty-one trillion, four hundred forty-four billion, six hundred twenty-six million, four hundred forty-four thousand, one hundred thirty-one".