313221200 has 60 divisors (see below), whose sum is σ = 760062588. Its totient is φ = 124032000.

The previous prime is 313221191. The next prime is 313221203. The reversal of 313221200 is 2122313.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 74580496 + 238640704 = 8636^2 + 15448^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313221203) 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 11 ways as a sum of consecutive naturals, for example, 36524 + ... + 44276.

Almost surely, 2^313221200 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 313221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380031294).

313221200 is an abundant number, since it is smaller than the sum of its proper divisors (446841388).

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

313221200 is a wasteful number, since it uses less digits than its factorization.

313221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7872 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 313221200 is about 17698.0563904628. The cubic root of 313221200 is about 679.1260398664.

Adding to 313221200 its reverse (2122313), we get a palindrome (315343513).

The spelling of 313221200 in words is "three hundred thirteen million, two hundred twenty-one thousand, two hundred".