131811564042 has 48 divisors (see below), whose sum is σ = 290024616960. Its totient is φ = 43256959200.

The previous prime is 131811564013. The next prime is 131811564043. The reversal of 131811564042 is 240465118131.

131811564042 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 1 + 1 + 5 + 640 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 131811563988 and 131811564006.

It is not an unprimeable number, because it can be changed into a prime (131811564043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 833367 + ... + 978837.

It is an arithmetic number, because the mean of its divisors is an integer number (6042179520).

Almost surely, 2^131811564042 is an apocalyptic number.

131811564042 is an abundant number, since it is smaller than the sum of its proper divisors (158213052918).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131811564042 is a wasteful number, since it uses less digits than its factorization.

131811564042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146259 (or 146256 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 131811564042 in words is "one hundred thirty-one billion, eight hundred eleven million, five hundred sixty-four thousand, forty-two".