131321312 has 48 divisors (see below), whose sum is σ = 278530560. Its totient is φ = 60746112.

The previous prime is 131321303. The next prime is 131321317. The reversal of 131321312 is 213123131.

131321312 is nontrivially palindromic in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131321317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23633 + ... + 28655.

It is an arithmetic number, because the mean of its divisors is an integer number (5802720).

Almost surely, 2^131321312 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 131321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139265280).

131321312 is an abundant number, since it is smaller than the sum of its proper divisors (147209248).

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

131321312 is a wasteful number, since it uses less digits than its factorization.

131321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095 (or 5087 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 131321312 is about 11459.5511255895. The cubic root of 131321312 is about 508.2902014346.

Adding to 131321312 its reverse (213123131), we get a palindrome (344444443).

The spelling of 131321312 in words is "one hundred thirty-one million, three hundred twenty-one thousand, three hundred twelve".