320201013000000 has 784 divisors, whose sum is σ = 1156632614913024. Its totient is φ = 77532000000000.

The previous prime is 320201012999971. The next prime is 320201013000007. The reversal of 320201013000000 is 310102023.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 320201013000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320201013000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 30062994675 + ... + 30063005325.

Almost surely, 2^{320201013000000} is an apocalyptic number.

320201013000000 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 320201013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578316307456512).

320201013000000 is an abundant number, since it is smaller than the sum of its proper divisors (836431601913024).

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

320201013000000 is an equidigital number, since it uses as much as digits as its factorization.

320201013000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11618 (or 11583 counting only the distinct ones).

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

Adding to 320201013000000 its reverse (310102023), we get a palindrome (320201323102023).

The spelling of 320201013000000 in words is "three hundred twenty trillion, two hundred one billion, thirteen million", and thus it is an aban number.