313011200 has 66 divisors (see below), whose sum is σ = 775952196. Its totient is φ = 125194240.

The previous prime is 313011199. The next prime is 313011217. The reversal of 313011200 is 2110313.

It is a super-2 number, since 2×313011200² = 195952022650880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19487 + ... + 31713.

Almost surely, 2^313011200 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 313011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387976098).

313011200 is an abundant number, since it is smaller than the sum of its proper divisors (462940996).

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

313011200 is a wasteful number, since it uses less digits than its factorization.

313011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12257 (or 12234 counting only the distinct ones).

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

The square root of 313011200 is about 17692.1225408372. The cubic root of 313011200 is about 678.9742319718.

Adding to 313011200 its reverse (2110313), we get a palindrome (315121513).

The spelling of 313011200 in words is "three hundred thirteen million, eleven thousand, two hundred".