131564031 has 16 divisors (see below), whose sum is σ = 183567360. Its totient is φ = 83712960.

The previous prime is 131564029. The next prime is 131564077. The reversal of 131564031 is 130465131.

It is not a de Polignac number, because 131564031 - 2¹ = 131564029 is a prime.

It is a super-2 number, since 2×131564031² = 34618188505937922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131563992 and 131564010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131564021) 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 15 ways as a sum of consecutive naturals, for example, 2901 + ... + 16478.

It is an arithmetic number, because the mean of its divisors is an integer number (11472960).

Almost surely, 2^131564031 is an apocalyptic number.

131564031 is a deficient number, since it is larger than the sum of its proper divisors (52003329).

131564031 is a wasteful number, since it uses less digits than its factorization.

131564031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19486.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 131564031 is about 11470.1364856744. The cubic root of 131564031 is about 508.6031634788.

The spelling of 131564031 in words is "one hundred thirty-one million, five hundred sixty-four thousand, thirty-one".