313220295200 has 162 divisors, whose sum is σ = 783124468623. Its totient is φ = 122331148800.

The previous prime is 313220295191. The next prime is 313220295209. The reversal of 313220295200 is 2592022313.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (313220295191) and next prime (313220295209).

It can be written as a sum of positive squares in 5 ways, for example, as 1664313616 + 311555981584 = 40796^2 + 558172^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=395740.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (313220295209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 743990990 + ... + 743991410.

Almost surely, 2^313220295200 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 313220295200

313220295200 is an abundant number, since it is smaller than the sum of its proper divisors (469904173423).

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

313220295200 is an frugal number, since it uses more digits than its factorization.

313220295200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 313220295200 in words is "three hundred thirteen billion, two hundred twenty million, two hundred ninety-five thousand, two hundred".