10323210320000 has 320 divisors, whose sum is σ = 26090332639800. Its totient is φ = 4066578432000.

The previous prime is 10323210319979. The next prime is 10323210320029. The reversal of 10323210320000 is 2301232301.

It can be written as a sum of positive squares in 20 ways, for example, as 5002880570944 + 5320329749056 = 2236712^2 + 2306584^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7224079286 + ... + 7224080714.

Almost surely, 2^{10323210320000} is an apocalyptic number.

10323210320000 is a gapful number since it is divisible by the number (10) 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 10323210320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13045166319900).

10323210320000 is an abundant number, since it is smaller than the sum of its proper divisors (15767122319800).

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

10323210320000 is an equidigital number, since it uses as much as digits as its factorization.

10323210320000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2773 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 10323210320000 its reverse (2301232301), we get a palindrome (10325511552301).

The spelling of 10323210320000 in words is "ten trillion, three hundred twenty-three billion, two hundred ten million, three hundred twenty thousand".