131391104 has 48 divisors (see below), whose sum is σ = 282897510. Its totient is φ = 60426240.

The previous prime is 131391049. The next prime is 131391149. The reversal of 131391104 is 401193131.

It can be written as a sum of positive squares in 3 ways, for example, as 110670400 + 20720704 = 10520^2 + 4552^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 131391104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 467444 + ... + 467724.

Almost surely, 2^131391104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131391104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141448755).

131391104 is an abundant number, since it is smaller than the sum of its proper divisors (151506406).

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

131391104 is an frugal number, since it uses more digits than its factorization.

131391104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 131391104 is about 11462.5958665566. The cubic root of 131391104 is about 508.3802307594.

The spelling of 131391104 in words is "one hundred thirty-one million, three hundred ninety-one thousand, one hundred four".