131218920 has 256 divisors, whose sum is σ = 529804800. Its totient is φ = 28200960.

The previous prime is 131218907. The next prime is 131218931. The reversal of 131218920 is 29812131.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128010 + ... + 129030.

It is an arithmetic number, because the mean of its divisors is an integer number (2069550).

Almost surely, 2^131218920 is an apocalyptic number.

131218920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131218920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264902400).

131218920 is an abundant number, since it is smaller than the sum of its proper divisors (398585880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131218920 is a wasteful number, since it uses less digits than its factorization.

131218920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1055 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 131218920 is about 11455.0827146730. The cubic root of 131218920 is about 508.1580614645.

The spelling of 131218920 in words is "one hundred thirty-one million, two hundred eighteen thousand, nine hundred twenty".