131626319 has 16 divisors (see below), whose sum is σ = 151632000. Its totient is φ = 113001120.

The previous prime is 131626307. The next prime is 131626333. The reversal of 131626319 is 913626131.

It is a cyclic number.

It is not a de Polignac number, because 131626319 - 2⁸ = 131626063 is a prime.

It is a super-2 number, since 2×131626319² = 34650975706979522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131626379) 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 15 ways as a sum of consecutive naturals, for example, 80492 + ... + 82110.

It is an arithmetic number, because the mean of its divisors is an integer number (9477000).

Almost surely, 2^131626319 is an apocalyptic number.

131626319 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

131626319 is a deficient number, since it is larger than the sum of its proper divisors (20005681).

131626319 is a wasteful number, since it uses less digits than its factorization.

131626319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2038.

The product of its digits is 5832, while the sum is 32.

The square root of 131626319 is about 11472.8513892580. The cubic root of 131626319 is about 508.6834155947.

The spelling of 131626319 in words is "one hundred thirty-one million, six hundred twenty-six thousand, three hundred nineteen".