320101123102320 has 480 divisors, whose sum is σ = 1211093955311616. Its totient is φ = 69645023078400.

The previous prime is 320101123102283. The next prime is 320101123102339. The reversal of 320101123102320 is 23201321101023.

It is a super-2 number, since 2×320101123102320² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15041047 + ... + 29435273.

Almost surely, 2^{320101123102320} is an apocalyptic number.

320101123102320 is a gapful number since it is divisible by the number (30) 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 320101123102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605546977655808).

320101123102320 is an abundant number, since it is smaller than the sum of its proper divisors (890992832209296).

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

320101123102320 is a wasteful number, since it uses less digits than its factorization.

320101123102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14394349 (or 14394336 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 320101123102320 its reverse (23201321101023), we get a palindrome (343302444203343).

The spelling of 320101123102320 in words is "three hundred twenty trillion, one hundred one billion, one hundred twenty-three million, one hundred two thousand, three hundred twenty".