313413300 has 90 divisors (see below), whose sum is σ = 1015988358. Its totient is φ = 83574720.

The previous prime is 313413223. The next prime is 313413301. The reversal of 313413300 is 3314313.

It can be written as a sum of positive squares in 3 ways, for example, as 59074596 + 254338704 = 7686^2 + 15948^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313413301) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 11247 + ... + 27446.

Almost surely, 2^313413300 is an apocalyptic number.

313413300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313413300 is an abundant number, since it is smaller than the sum of its proper divisors (702575058).

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

313413300 is a wasteful number, since it uses less digits than its factorization.

313413300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38719 (or 38703 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 313413300 is about 17703.4827082131. The cubic root of 313413300 is about 679.2648485323.

Adding to 313413300 its reverse (3314313), we get a palindrome (316727613).

The spelling of 313413300 in words is "three hundred thirteen million, four hundred thirteen thousand, three hundred".