313188083712 has 480 divisors, whose sum is σ = 1075977302400. Its totient is φ = 88908005376.

The previous prime is 313188083687. The next prime is 313188083743. The reversal of 313188083712 is 217380881313.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 200889589 + ... + 200891147.

It is an arithmetic number, because the mean of its divisors is an integer number (2241619380).

Almost surely, 2^313188083712 is an apocalyptic number.

313188083712 is a gapful number since it is divisible by the number (32) 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 313188083712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537988651200).

313188083712 is an abundant number, since it is smaller than the sum of its proper divisors (762789218688).

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

313188083712 is a wasteful number, since it uses less digits than its factorization.

313188083712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1773 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 313188083712 in words is "three hundred thirteen billion, one hundred eighty-eight million, eighty-three thousand, seven hundred twelve".