313200112320 has 448 divisors, whose sum is σ = 1128954816000. Its totient is φ = 81715433472.

The previous prime is 313200112231. The next prime is 313200112327. The reversal of 313200112320 is 23211002313.

313200112320 is a `hidden beast` number, since 31 + 3 + 200 + 112 + 320 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 313200112293 and 313200112302.

It is not an unprimeable number, because it can be changed into a prime (313200112327) 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 63 ways as a sum of consecutive naturals, for example, 116733699 + ... + 116736381.

Almost surely, 2^313200112320 is an apocalyptic number.

313200112320 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 313200112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564477408000).

313200112320 is an abundant number, since it is smaller than the sum of its proper divisors (815754703680).

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

313200112320 is a wasteful number, since it uses less digits than its factorization.

313200112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313200112320 its reverse (23211002313), we get a palindrome (336411114633).

The spelling of 313200112320 in words is "three hundred thirteen billion, two hundred million, one hundred twelve thousand, three hundred twenty".