313112012100 has 144 divisors (see below), whose sum is σ = 933232977600. Its totient is φ = 81006912000.

The previous prime is 313112012053. The next prime is 313112012119. The reversal of 313112012100 is 1210211313.

It is a happy number.

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 313112012100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1840650 + ... + 2003550.

Almost surely, 2^313112012100 is an apocalyptic number.

313112012100 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 313112012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466616488800).

313112012100 is an abundant number, since it is smaller than the sum of its proper divisors (620120965500).

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

313112012100 is a wasteful number, since it uses less digits than its factorization.

313112012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163110 (or 163103 counting only the distinct ones).

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

Adding to 313112012100 its reverse (1210211313), we get a palindrome (314322223413).

The spelling of 313112012100 in words is "three hundred thirteen billion, one hundred twelve million, twelve thousand, one hundred".