320320100100000 has 1728 divisors, whose sum is σ = 1436317945017984. Its totient is φ = 61439616000000.

The previous prime is 320320100099983. The next prime is 320320100100023. The reversal of 320320100100000 is 1001023023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2102023810 + ... + 2102176190.

It is an arithmetic number, because the mean of its divisors is an integer number (831202514478).

Almost surely, 2^{320320100100000} is an apocalyptic number.

320320100100000 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 320320100100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718158972508992).

320320100100000 is an abundant number, since it is smaller than the sum of its proper divisors (1115997844917984).

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

320320100100000 is a wasteful number, since it uses less digits than its factorization.

320320100100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152457 (or 152422 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 320320100100000 its reverse (1001023023), we get a palindrome (320321101123023).

The spelling of 320320100100000 in words is "three hundred twenty trillion, three hundred twenty billion, one hundred million, one hundred thousand".