13310330300000 has 288 divisors, whose sum is σ = 34833600819360. Its totient is φ = 4991846400000.

The previous prime is 13310330299993. The next prime is 13310330300093. The reversal of 13310330300000 is 303301331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184263890 + ... + 184336110.

It is an arithmetic number, because the mean of its divisors is an integer number (120950002845).

Almost surely, 2^{13310330300000} is an apocalyptic number.

13310330300000 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 13310330300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17416800409680).

13310330300000 is an abundant number, since it is smaller than the sum of its proper divisors (21523270519360).

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

13310330300000 is an frugal number, since it uses more digits than its factorization.

13310330300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72372 (or 72344 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 17.

Adding to 13310330300000 its reverse (303301331), we get a palindrome (13310633601331).

The spelling of 13310330300000 in words is "thirteen trillion, three hundred ten billion, three hundred thirty million, three hundred thousand".