131197131 has 32 divisors (see below), whose sum is σ = 216552000. Its totient is φ = 77946624.

The previous prime is 131197123. The next prime is 131197139. The reversal of 131197131 is 131791131.

It is an interprime number because it is at equal distance from previous prime (131197123) and next prime (131197139).

It is not a de Polignac number, because 131197131 - 2³ = 131197123 is a prime.

It is a super-2 number, since 2×131197131² = 34425374365262322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 131197095 and 131197104.

It is not an unprimeable number, because it can be changed into a prime (131197139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3735 + ... + 16623.

It is an arithmetic number, because the mean of its divisors is an integer number (6767250).

Almost surely, 2^131197131 is an apocalyptic number.

131197131 is a deficient number, since it is larger than the sum of its proper divisors (85354869).

131197131 is a wasteful number, since it uses less digits than its factorization.

131197131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12940 (or 12934 counting only the distinct ones).

The product of its digits is 567, while the sum is 27.

The square root of 131197131 is about 11454.1316126540. The cubic root of 131197131 is about 508.1299332319.

It can be divided in two parts, 131197 and 131, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 131197131 in words is "one hundred thirty-one million, one hundred ninety-seven thousand, one hundred thirty-one".