313313222220984 has 640 divisors, whose sum is σ = 943724375193600. Its totient is φ = 96900271902720.

The previous prime is 313313222220983. The next prime is 313313222221003. The reversal of 313313222220984 is 489022222313313.

It is a happy number.

313313222220984 is a `hidden beast` number, since 3 + 1 + 3 + 313 + 2 + 22 + 220 + 98 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313313222220983) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17688311712 + ... + 17688329424.

It is an arithmetic number, because the mean of its divisors is an integer number (1474569336240).

Almost surely, 2^{313313222220984} 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 313313222220984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471862187596800).

313313222220984 is an abundant number, since it is smaller than the sum of its proper divisors (630411152972616).

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

313313222220984 is a wasteful number, since it uses less digits than its factorization.

313313222220984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18097 (or 18084 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 313313222220984 in words is "three hundred thirteen trillion, three hundred thirteen billion, two hundred twenty-two million, two hundred twenty thousand, nine hundred eighty-four".