313345313200 has 120 divisors (see below), whose sum is σ = 781284235680. Its totient is φ = 120625612800.

The previous prime is 313345313167. The next prime is 313345313207. The reversal of 313345313200 is 2313543313.

It is not an unprimeable number, because it can be changed into a prime (313345313207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3564172 + ... + 3651028.

It is an arithmetic number, because the mean of its divisors is an integer number (6510701964).

Almost surely, 2^313345313200 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 313345313200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390642117840).

313345313200 is an abundant number, since it is smaller than the sum of its proper divisors (467938922480).

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

313345313200 is a wasteful number, since it uses less digits than its factorization.

313345313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87215 (or 87204 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 28.

Adding to 313345313200 its reverse (2313543313), we get a palindrome (315658856513).

The spelling of 313345313200 in words is "three hundred thirteen billion, three hundred forty-five million, three hundred thirteen thousand, two hundred".