313300 has 36 divisors (see below), whose sum is σ = 735196. Its totient is φ = 115200.

The previous prime is 313297. The next prime is 313301. The reversal of 313300 is 3313.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12996 + 300304 = 114^2 + 548^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1180 + ... + 1420.

2³¹³³⁰⁰ 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 313300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367598).

313300 is an abundant number, since it is smaller than the sum of its proper divisors (421896).

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

313300 is a wasteful number, since it uses less digits than its factorization.

313300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 10.

The square root of 313300 is about 559.7320787663. The cubic root of 313300 is about 67.9182986464.

Adding to 313300 its reverse (3313), we get a palindrome (316613).

The spelling of 313300 in words is "three hundred thirteen thousand, three hundred".