313100112001200 has 60 divisors (see below), whose sum is σ = 1002964025447688. Its totient is φ = 83493363200000.

The previous prime is 313100112001097. The next prime is 313100112001213. The reversal of 313100112001200 is 2100211001313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

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 313100112001200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130458378801 + ... + 130458381200.

Almost surely, 2^{313100112001200} is an apocalyptic number.

313100112001200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313100112001200 is an abundant number, since it is smaller than the sum of its proper divisors (689863913446488).

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

313100112001200 is a wasteful number, since it uses less digits than its factorization.

313100112001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260916760022 (or 260916760011 counting only the distinct ones).

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

Adding to 313100112001200 its reverse (2100211001313), we get a palindrome (315200323002513).

The spelling of 313100112001200 in words is "three hundred thirteen trillion, one hundred billion, one hundred twelve million, one thousand, two hundred".