313330000 has 50 divisors (see below), whose sum is σ = 758627474. Its totient is φ = 125328000.

The previous prime is 313329979. The next prime is 313330001. The reversal of 313330000 is 33313.

It can be written as a sum of positive squares in 5 ways, for example, as 26501904 + 286828096 = 5148^2 + 16936^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313330001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5667 + ... + 25666.

Almost surely, 2^313330000 is an apocalyptic number.

It is an amenable number.

313330000 is an abundant number, since it is smaller than the sum of its proper divisors (445297474).

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

313330000 is an equidigital number, since it uses as much as digits as its factorization.

313330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31361 (or 31340 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 13.

The square root of 313330000 is about 17701.1299074381. The cubic root of 313330000 is about 679.2046641309.

Adding to 313330000 its reverse (33313), we get a palindrome (313363313).

It can be divided in two parts, 3133 and 30000, that added together give a palindrome (33133).

The spelling of 313330000 in words is "three hundred thirteen million, three hundred thirty thousand".