316531137321 has 81 divisors (see below), whose sum is σ = 540717311511. Its totient is φ = 177911100864.

The previous prime is 316531137313. The next prime is 316531137323. The reversal of 316531137321 is 123731135613.

The square root of 316531137321 is 562611.

It is a perfect power (a square), and thus also a powerful number.

316531137321 is a `hidden beast` number, since 3 + 16 + 5 + 311 + 3 + 7 + 321 = 666.

It can be written as a sum of positive squares in only one way, i.e., 179678493225 + 136852644096 = 423885^2 + 369936^2 .

It is not a de Polignac number, because 316531137321 - 2³ = 316531137313 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (316531137323) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 862482480 + ... + 862482846.

Almost surely, 2^316531137321 is an apocalyptic number.

316531137321 is the 562611-st square number.

316531137321 is the 281306-th centered octagonal number.

It is an amenable number.

316531137321 is a deficient number, since it is larger than the sum of its proper divisors (224186174190).

316531137321 is an frugal number, since it uses more digits than its factorization.

316531137321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 450 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

Multiplying 316531137321 by its sum of digits (36), we get a square (11395120943556 = 3375666²).

The spelling of 316531137321 in words is "three hundred sixteen billion, five hundred thirty-one million, one hundred thirty-seven thousand, three hundred twenty-one".