313020200 has 72 divisors (see below), whose sum is σ = 754137930. Its totient is φ = 120825600.

The previous prime is 313020187. The next prime is 313020217. The reversal of 313020200 is 2020313.

It can be written as a sum of positive squares in 9 ways, for example, as 3189796 + 309830404 = 1786^2 + 17602^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 167270 + ... + 169130.

Almost surely, 2^313020200 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 313020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377068965).

313020200 is an abundant number, since it is smaller than the sum of its proper divisors (441117730).

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

313020200 is a wasteful number, since it uses less digits than its factorization.

313020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 313020200 is about 17692.3768894968. The cubic root of 313020200 is about 678.9807394168.

Adding to 313020200 its reverse (2020313), we get a palindrome (315040513).

The spelling of 313020200 in words is "three hundred thirteen million, twenty thousand, two hundred".