313330332 has 72 divisors (see below), whose sum is σ = 887657344. Its totient is φ = 84250368.

The previous prime is 313330309. The next prime is 313330337. The reversal of 313330332 is 233033313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 313330299 and 313330308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313330337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17823 + ... + 30729.

Almost surely, 2^313330332 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 313330332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443828672).

313330332 is an abundant number, since it is smaller than the sum of its proper divisors (574327012).

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

313330332 is a wasteful number, since it uses less digits than its factorization.

313330332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12955 (or 12936 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 21.

The square root of 313330332 is about 17701.1392853680. The cubic root of 313330332 is about 679.2049040227.

Adding to 313330332 its reverse (233033313), we get a palindrome (546363645).

The spelling of 313330332 in words is "three hundred thirteen million, three hundred thirty thousand, three hundred thirty-two".