320333002313000 has 256 divisors, whose sum is σ = 784312274304000. Its totient is φ = 122297801472000.

The previous prime is 320333002312991. The next prime is 320333002313017. The reversal of 320333002313000 is 313200333023.

It is a super-2 number, since 2×320333002313000² (a number of 30 digits) contains 22 as substring.

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, 14822672195 + ... + 14822693805.

It is an arithmetic number, because the mean of its divisors is an integer number (3063719821500).

Almost surely, 2^{320333002313000} 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 320333002313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392156137152000).

320333002313000 is an abundant number, since it is smaller than the sum of its proper divisors (463979271991000).

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

320333002313000 is a wasteful number, since it uses less digits than its factorization.

320333002313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27493 (or 27479 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 23.

Adding to 320333002313000 its reverse (313200333023), we get a palindrome (320646202646023).

The spelling of 320333002313000 in words is "three hundred twenty trillion, three hundred thirty-three billion, two million, three hundred thirteen thousand".