2313221010320 has 320 divisors, whose sum is σ = 6054478202880. Its totient is φ = 814774272000.

The previous prime is 2313221010319. The next prime is 2313221010337. The reversal of 2313221010320 is 230101223132.

2313221010320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2313221010292 and 2313221010301.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2859358076 + ... + 2859358884.

It is an arithmetic number, because the mean of its divisors is an integer number (18920244384).

Almost surely, 2^{2313221010320} is an apocalyptic number.

2313221010320 is a gapful number since it is divisible by the number (20) 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 2313221010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027239101440).

2313221010320 is an abundant number, since it is smaller than the sum of its proper divisors (3741257192560).

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

2313221010320 is a wasteful number, since it uses less digits than its factorization.

2313221010320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 2313221010320 its reverse (230101223132), we get a palindrome (2543322233452).

The spelling of 2313221010320 in words is "two trillion, three hundred thirteen billion, two hundred twenty-one million, ten thousand, three hundred twenty".