131864031 has 40 divisors (see below), whose sum is σ = 214487504. Its totient is φ = 80248320.

The previous prime is 131864021. The next prime is 131864063. The reversal of 131864031 is 130468131.

131864031 is a `hidden beast` number, since 1 + 3 + 18 + 640 + 3 + 1 = 666.

It is not a de Polignac number, because 131864031 - 2⁹ = 131863519 is a prime.

It is a super-2 number, since 2×131864031² = 34776245343137922, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131863986 and 131864004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131864011) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101496 + ... + 102786.

Almost surely, 2^131864031 is an apocalyptic number.

131864031 is a deficient number, since it is larger than the sum of its proper divisors (82623473).

131864031 is a wasteful number, since it uses less digits than its factorization.

131864031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 131864031 is about 11483.2064772867. The cubic root of 131864031 is about 508.9894522435.

The spelling of 131864031 in words is "one hundred thirty-one million, eight hundred sixty-four thousand, thirty-one".