131331180 has 96 divisors (see below), whose sum is σ = 377395200. Its totient is φ = 34115328.

The previous prime is 131331139. The next prime is 131331181. The reversal of 131331180 is 81133131.

It is not an unprimeable number, because it can be changed into a prime (131331181) 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, 488086 + ... + 488354.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^131331180 is an apocalyptic number.

131331180 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 131331180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188697600).

131331180 is an abundant number, since it is smaller than the sum of its proper divisors (246064020).

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

131331180 is a wasteful number, since it uses less digits than its factorization.

131331180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 131331180 is about 11459.9816753780. The cubic root of 131331180 is about 508.3029327575.

The spelling of 131331180 in words is "one hundred thirty-one million, three hundred thirty-one thousand, one hundred eighty".