320102332003020 has 384 divisors, whose sum is σ = 1113597360691200. Its totient is φ = 67135526535168.

The previous prime is 320102332002941. The next prime is 320102332003043. The reversal of 320102332003020 is 20300233201023.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11119116 + ... + 27637644.

It is an arithmetic number, because the mean of its divisors is an integer number (2899993126800).

Almost surely, 2^{320102332003020} is an apocalyptic number.

320102332003020 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 320102332003020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556798680345600).

320102332003020 is an abundant number, since it is smaller than the sum of its proper divisors (793495028688180).

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

320102332003020 is a wasteful number, since it uses less digits than its factorization.

320102332003020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16518657 (or 16518655 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 320102332003020 its reverse (20300233201023), we get a palindrome (340402565204043).

The spelling of 320102332003020 in words is "three hundred twenty trillion, one hundred two billion, three hundred thirty-two million, three thousand, twenty".