313014200 has 96 divisors (see below), whose sum is σ = 788855760. Its totient is φ = 115046400.

The previous prime is 313014193. The next prime is 313014203. The reversal of 313014200 is 2410313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313014203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145130 + ... + 147270.

Almost surely, 2^313014200 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 313014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394427880).

313014200 is an abundant number, since it is smaller than the sum of its proper divisors (475841560).

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

313014200 is a wasteful number, since it uses less digits than its factorization.

313014200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2217 (or 2208 counting only the distinct ones).

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

The square root of 313014200 is about 17692.2073241300. The cubic root of 313014200 is about 678.9764011340.

Adding to 313014200 its reverse (2410313), we get a palindrome (315424513).

The spelling of 313014200 in words is "three hundred thirteen million, fourteen thousand, two hundred".