313316681741336 has 256 divisors, whose sum is σ = 785688761088000. Its totient is φ = 113628903874560.

The previous prime is 313316681741303. The next prime is 313316681741339. The reversal of 313316681741336 is 633147186613313.

It is a super-2 number, since 2×313316681741336² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313316681741339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 77621741 + ... + 81558371.

It is an arithmetic number, because the mean of its divisors is an integer number (3069096723000).

Almost surely, 2^{313316681741336} 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 313316681741336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392844380544000).

313316681741336 is an abundant number, since it is smaller than the sum of its proper divisors (472372079346664).

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

313316681741336 is a wasteful number, since it uses less digits than its factorization.

313316681741336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3936842 (or 3936838 counting only the distinct ones).

The product of its digits is 11757312, while the sum is 56.

The spelling of 313316681741336 in words is "three hundred thirteen trillion, three hundred sixteen billion, six hundred eighty-one million, seven hundred forty-one thousand, three hundred thirty-six".