313133472 has 96 divisors (see below), whose sum is σ = 967075200. Its totient is φ = 98233344.

The previous prime is 313133461. The next prime is 313133507. The reversal of 313133472 is 274331313.

313133472 is a `hidden beast` number, since 3 + 1 + 313 + 347 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4029 + ... + 25347.

It is an arithmetic number, because the mean of its divisors is an integer number (10073700).

Almost surely, 2^313133472 is an apocalyptic number.

313133472 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 313133472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483537600).

313133472 is an abundant number, since it is smaller than the sum of its proper divisors (653941728).

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

313133472 is a wasteful number, since it uses less digits than its factorization.

313133472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21355 (or 21341 counting only the distinct ones).

The product of its digits is 4536, while the sum is 27.

The square root of 313133472 is about 17695.5777526477. The cubic root of 313133472 is about 679.0626300116.

Adding to 313133472 its reverse (274331313), we get a palindrome (587464785).

The spelling of 313133472 in words is "three hundred thirteen million, one hundred thirty-three thousand, four hundred seventy-two".