313313104 has 80 divisors (see below), whose sum is σ = 675238032. Its totient is φ = 139935744.

The previous prime is 313313101. The next prime is 313313113. The reversal of 313313104 is 401313313.

It can be written as a sum of positive squares in 8 ways, for example, as 8880400 + 304432704 = 2980^2 + 17448^2 .

It is a super-2 number, since 2×313313104² = 196330202276229632, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313313101) 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 15 ways as a sum of consecutive naturals, for example, 1069182 + ... + 1069474.

Almost surely, 2^313313104 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 313313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337619016).

313313104 is an abundant number, since it is smaller than the sum of its proper divisors (361924928).

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

313313104 is a wasteful number, since it uses less digits than its factorization.

313313104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 313313104 is about 17700.6526433349. The cubic root of 313313104 is about 679.1924554391.

Adding to 313313104 its reverse (401313313), we get a palindrome (714626417).

The spelling of 313313104 in words is "three hundred thirteen million, three hundred thirteen thousand, one hundred four".