313200113100 has 288 divisors, whose sum is σ = 1072464691200. Its totient is φ = 69048806400.

The previous prime is 313200113099. The next prime is 313200113111. The reversal of 313200113100 is 1311002313.

It is a super-2 number, since 2×313200113100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 313200113100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77889090 + ... + 77893110.

Almost surely, 2^313200113100 is an apocalyptic number.

313200113100 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 313200113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536232345600).

313200113100 is an abundant number, since it is smaller than the sum of its proper divisors (759264578100).

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

313200113100 is a wasteful number, since it uses less digits than its factorization.

313200113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 313200113100 its reverse (1311002313), we get a palindrome (314511115413).

The spelling of 313200113100 in words is "three hundred thirteen billion, two hundred million, one hundred thirteen thousand, one hundred".