131317380 has 72 divisors (see below), whose sum is σ = 400726872. Its totient is φ = 34807296.

The previous prime is 131317369. The next prime is 131317397. The reversal of 131317380 is 83713131.

It can be written as a sum of positive squares in 4 ways, for example, as 65512836 + 65804544 = 8094^2 + 8112^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29032 + ... + 33248.

It is an arithmetic number, because the mean of its divisors is an integer number (5565651).

Almost surely, 2^131317380 is an apocalyptic number.

131317380 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 131317380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200363436).

131317380 is an abundant number, since it is smaller than the sum of its proper divisors (269409492).

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

131317380 is a wasteful number, since it uses less digits than its factorization.

131317380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 131317380 is about 11459.3795643569. The cubic root of 131317380 is about 508.2851283382.

The spelling of 131317380 in words is "one hundred thirty-one million, three hundred seventeen thousand, three hundred eighty".