131513877 has 48 divisors (see below), whose sum is σ = 220147200. Its totient is φ = 74818080.

The previous prime is 131513857. The next prime is 131513897. The reversal of 131513877 is 778315131.

It is a happy number.

131513877 is a `hidden beast` number, since 131 + 513 + 8 + 7 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (131513857) and next prime (131513897).

It is not a de Polignac number, because 131513877 - 2¹⁵ = 131481109 is a prime.

It is a super-2 number, since 2×131513877² = 34591799687142258, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131513857) 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 47 ways as a sum of consecutive naturals, for example, 261208 + ... + 261710.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^131513877 is an apocalyptic number.

It is an amenable number.

131513877 is a deficient number, since it is larger than the sum of its proper divisors (88633323).

131513877 is a wasteful number, since it uses less digits than its factorization.

131513877 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 675 counting only the distinct ones).

The product of its digits is 17640, while the sum is 36.

The square root of 131513877 is about 11467.9499911710. The cubic root of 131513877 is about 508.5385264475.

The spelling of 131513877 in words is "one hundred thirty-one million, five hundred thirteen thousand, eight hundred seventy-seven".