313104202200200 has 24 divisors (see below), whose sum is σ = 727967270115930. Its totient is φ = 125241680880000.

The previous prime is 313104202200107. The next prime is 313104202200203. The reversal of 313104202200200 is 2002202401313.

It can be written as a sum of positive squares in 3 ways, for example, as 248247691550884 + 64856510649316 = 15755878^2 + 8053354^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (313104202200203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 782760505301 + ... + 782760505700.

Almost surely, 2^{313104202200200} is an apocalyptic number.

It is an amenable number.

313104202200200 is an abundant number, since it is smaller than the sum of its proper divisors (414863067915730).

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

313104202200200 is a wasteful number, since it uses less digits than its factorization.

313104202200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565521011017 (or 1565521011008 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 313104202200200 its reverse (2002202401313), we get a palindrome (315106404601513).

The spelling of 313104202200200 in words is "three hundred thirteen trillion, one hundred four billion, two hundred two million, two hundred thousand, two hundred".