131936013 has 32 divisors (see below), whose sum is σ = 214072320. Its totient is φ = 79645680.

The previous prime is 131936011. The next prime is 131936041. The reversal of 131936013 is 310639131.

It is not a de Polignac number, because 131936013 - 2¹ = 131936011 is a prime.

It is a super-2 number, since 2×131936013² = 34814223052672338, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131936011) 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 31 ways as a sum of consecutive naturals, for example, 90456 + ... + 91902.

It is an arithmetic number, because the mean of its divisors is an integer number (6689760).

Almost surely, 2^131936013 is an apocalyptic number.

It is an amenable number.

131936013 is a deficient number, since it is larger than the sum of its proper divisors (82136307).

131936013 is a wasteful number, since it uses less digits than its factorization.

131936013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 131936013 is about 11486.3402787833. The cubic root of 131936013 is about 509.0820511977.

The spelling of 131936013 in words is "one hundred thirty-one million, nine hundred thirty-six thousand, thirteen".