313130272 has 96 divisors (see below), whose sum is σ = 763402752. Its totient is φ = 123116544.

The previous prime is 313130269. The next prime is 313130273. The reversal of 313130272 is 272031313.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (313130273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 853033 + ... + 853399.

It is an arithmetic number, because the mean of its divisors is an integer number (7952112).

Almost surely, 2^313130272 is an apocalyptic number.

313130272 is a gapful number since it is divisible by the number (32) 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 313130272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381701376).

313130272 is an abundant number, since it is smaller than the sum of its proper divisors (450272480).

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

313130272 is a wasteful number, since it uses less digits than its factorization.

313130272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 22.

The square root of 313130272 is about 17695.4873343460. The cubic root of 313130272 is about 679.0603168257.

Adding to 313130272 its reverse (272031313), we get a palindrome (585161585).

The spelling of 313130272 in words is "three hundred thirteen million, one hundred thirty thousand, two hundred seventy-two".