313056566004 has 144 divisors (see below), whose sum is σ = 905260769280. Its totient is φ = 82446848640.

The previous prime is 313056566003. The next prime is 313056566113. The reversal of 313056566004 is 400665650313.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313056566003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 10191589 + ... + 10222259.

It is an arithmetic number, because the mean of its divisors is an integer number (6286533120).

Almost surely, 2^313056566004 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 313056566004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452630384640).

313056566004 is an abundant number, since it is smaller than the sum of its proper divisors (592204203276).

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

313056566004 is a wasteful number, since it uses less digits than its factorization.

313056566004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31430 (or 31415 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The spelling of 313056566004 in words is "three hundred thirteen billion, fifty-six million, five hundred sixty-six thousand, four".