313312300200 has 144 divisors (see below), whose sum is σ = 1052379635580. Its totient is φ = 83536250880.

The previous prime is 313312300193. The next prime is 313312300243. The reversal of 313312300200 is 2003213313.

313312300200 is a `hidden beast` number, since 31 + 3 + 312 + 300 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 167606722404 + 145705577796 = 409398^2 + 381714^2 .

It is a super-2 number, since 2×313312300200² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15896752 + ... + 15916448.

Almost surely, 2^313312300200 is an apocalyptic number.

313312300200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313312300200 is an abundant number, since it is smaller than the sum of its proper divisors (739067335380).

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

313312300200 is a wasteful number, since it uses less digits than its factorization.

313312300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28556 (or 28544 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 313312300200 its reverse (2003213313), we get a palindrome (315315513513).

The spelling of 313312300200 in words is "three hundred thirteen billion, three hundred twelve million, three hundred thousand, two hundred".