131241363142131 has 36 divisors (see below), whose sum is σ = 208817465501736. Its totient is φ = 79369898108160.

The previous prime is 131241363142069. The next prime is 131241363142157.

131241363142131 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 4 + 1 + 3 + 631 + 4 + 2 + 13 + 1 = 666.

131241363142131 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 131241363142131 - 2¹³ = 131241363133939 is a prime.

It is a super-2 number, since 2×131241363142131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (131241363144131) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 128523006 + ... + 129540131.

It is an arithmetic number, because the mean of its divisors is an integer number (5800485152826).

Almost surely, 2^{131241363142131} is an apocalyptic number.

131241363142131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131241363142131 is a deficient number, since it is larger than the sum of its proper divisors (77576102359605).

131241363142131 is a wasteful number, since it uses less digits than its factorization.

131241363142131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258063632 (or 258063618 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The spelling of 131241363142131 in words is "one hundred thirty-one trillion, two hundred forty-one billion, three hundred sixty-three million, one hundred forty-two thousand, one hundred thirty-one".