313125676128 has 120 divisors (see below), whose sum is σ = 922386354120. Its totient is φ = 104206072320.

The previous prime is 313125676093. The next prime is 313125676139. The reversal of 313125676128 is 821676521313.

It is a happy number.

313125676128 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 2 + 567 + 61 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1506868 + ... + 1702028.

It is an arithmetic number, because the mean of its divisors is an integer number (7686552951).

Almost surely, 2^313125676128 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 313125676128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461193177060).

313125676128 is an abundant number, since it is smaller than the sum of its proper divisors (609260677992).

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

313125676128 is a wasteful number, since it uses less digits than its factorization.

313125676128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195802 (or 195785 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The spelling of 313125676128 in words is "three hundred thirteen billion, one hundred twenty-five million, six hundred seventy-six thousand, one hundred twenty-eight".