313112102012000 has 384 divisors, whose sum is σ = 782711762152320. Its totient is φ = 123081201254400.

The previous prime is 313112102011993. The next prime is 313112102012027. The reversal of 313112102012000 is 210201211313.

It is a self number, because there is not a number n which added to its sum of digits gives 313112102012000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135605066846 + ... + 135605069154.

It is an arithmetic number, because the mean of its divisors is an integer number (2038311880605).

Almost surely, 2^{313112102012000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313112102012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391355881076160).

313112102012000 is an abundant number, since it is smaller than the sum of its proper divisors (469599660140320).

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

313112102012000 is a wasteful number, since it uses less digits than its factorization.

313112102012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4403 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 313112102012000 its reverse (210201211313), we get a palindrome (313322303223313).

The spelling of 313112102012000 in words is "three hundred thirteen trillion, one hundred twelve billion, one hundred two million, twelve thousand".