313101200 has 60 divisors (see below), whose sum is σ = 765032880. Its totient is φ = 123108480.

The previous prime is 313101181. The next prime is 313101293. The reversal of 313101200 is 2101313.

313101200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×313101200² = 196064722882880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16967 + ... + 30233.

It is an arithmetic number, because the mean of its divisors is an integer number (12750548).

Almost surely, 2^313101200 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 313101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382516440).

313101200 is an abundant number, since it is smaller than the sum of its proper divisors (451931680).

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

313101200 is a wasteful number, since it uses less digits than its factorization.

313101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13344 (or 13333 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 313101200 is about 17694.6658629091. The cubic root of 313101200 is about 679.0393008096.

Adding to 313101200 its reverse (2101313), we get a palindrome (315202513).

The spelling of 313101200 in words is "three hundred thirteen million, one hundred one thousand, two hundred".