131313312 has 168 divisors, whose sum is σ = 418387284. Its totient is φ = 40310784.

The previous prime is 131313263. The next prime is 131313317. The reversal of 131313312 is 213313131.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 109746576 + 21566736 = 10476^2 + 4644^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is not an unprimeable number, because it can be changed into a prime (131313317) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 303048 + ... + 303480.

Almost surely, 2^131313312 is an apocalyptic number.

131313312 is a gapful number since it is divisible by the number (12) 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 131313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209193642).

131313312 is an abundant number, since it is smaller than the sum of its proper divisors (287073972).

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

131313312 is an equidigital number, since it uses as much as digits as its factorization.

131313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 451 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 131313312 is about 11459.2020664617. The cubic root of 131313312 is about 508.2798796670.

Adding to 131313312 its reverse (213313131), we get a palindrome (344626443).

The spelling of 131313312 in words is "one hundred thirty-one million, three hundred thirteen thousand, three hundred twelve".