313204321200 has 480 divisors, whose sum is σ = 1102749990912. Its totient is φ = 75644928000.

The previous prime is 313204321153. The next prime is 313204321207. The reversal of 313204321200 is 2123402313.

It is not an unprimeable number, because it can be changed into a prime (313204321207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 120787104 + ... + 120789696.

Almost surely, 2^313204321200 is an apocalyptic number.

313204321200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313204321200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551374995456).

313204321200 is an abundant number, since it is smaller than the sum of its proper divisors (789545669712).

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

313204321200 is a wasteful number, since it uses less digits than its factorization.

313204321200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2853 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 313204321200 its reverse (2123402313), we get a palindrome (315327723513).

The spelling of 313204321200 in words is "three hundred thirteen billion, two hundred four million, three hundred twenty-one thousand, two hundred".