131118975 has 72 divisors (see below), whose sum is σ = 264045600. Its totient is φ = 61712640.

The previous prime is 131118971. The next prime is 131119007. The reversal of 131118975 is 579811131.

It is not a de Polignac number, because 131118975 - 2² = 131118971 is a prime.

Together with 132926625 it forms an amicable pair .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131118971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66301 + ... + 68249.

It is an arithmetic number, because the mean of its divisors is an integer number (3667300).

Almost surely, 2^131118975 is an apocalyptic number.

131118975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

131118975 is an abundant number, since it is smaller than the sum of its proper divisors (132926625).

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

131118975 is a wasteful number, since it uses less digits than its factorization.

131118975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1993 counting only the distinct ones).

The product of its digits is 7560, while the sum is 36.

The square root of 131118975 is about 11450.7194097140. The cubic root of 131118975 is about 508.0290131093.

The spelling of 131118975 in words is "one hundred thirty-one million, one hundred eighteen thousand, nine hundred seventy-five".