13321330300320 has 288 divisors, whose sum is σ = 48823906856256. Its totient is φ = 3044205158400.

The previous prime is 13321330300303. The next prime is 13321330300357. The reversal of 13321330300320 is 2300303312331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110977935 + ... + 111097905.

It is an arithmetic number, because the mean of its divisors is an integer number (169527454362).

Almost surely, 2^{13321330300320} is an apocalyptic number.

13321330300320 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 13321330300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24411953428128).

13321330300320 is an abundant number, since it is smaller than the sum of its proper divisors (35502576555936).

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

13321330300320 is a wasteful number, since it uses less digits than its factorization.

13321330300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124724 (or 124709 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13321330300320 its reverse (2300303312331), we get a palindrome (15621633612651).

The spelling of 13321330300320 in words is "thirteen trillion, three hundred twenty-one billion, three hundred thirty million, three hundred thousand, three hundred twenty".