131529993 has 32 divisors (see below), whose sum is σ = 214056960. Its totient is φ = 70217280.

The previous prime is 131529961. The next prime is 131530019. The reversal of 131529993 is 399925131.

It is not a de Polignac number, because 131529993 - 2⁵ = 131529961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131529943) 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, 15396 + ... + 22362.

It is an arithmetic number, because the mean of its divisors is an integer number (6689280).

Almost surely, 2^131529993 is an apocalyptic number.

It is an amenable number.

131529993 is a deficient number, since it is larger than the sum of its proper divisors (82526967).

131529993 is a wasteful number, since it uses less digits than its factorization.

131529993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7037.

The product of its digits is 65610, while the sum is 42.

The square root of 131529993 is about 11468.6526235648. The cubic root of 131529993 is about 508.5592980759.

The spelling of 131529993 in words is "one hundred thirty-one million, five hundred twenty-nine thousand, nine hundred ninety-three".