313112101200 has 120 divisors (see below), whose sum is σ = 1024343092608. Its totient is φ = 81720023040.

The previous prime is 313112101199. The next prime is 313112101219. The reversal of 313112101200 is 2101211313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 313112101200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2719417 + ... + 2832216.

Almost surely, 2^313112101200 is an apocalyptic number.

313112101200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313112101200 is an abundant number, since it is smaller than the sum of its proper divisors (711230991408).

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

313112101200 is a wasteful number, since it uses less digits than its factorization.

313112101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551701 (or 5551690 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 313112101200 its reverse (2101211313), we get a palindrome (315213312513).

The spelling of 313112101200 in words is "three hundred thirteen billion, one hundred twelve million, one hundred one thousand, two hundred".