13320000020320 has 384 divisors, whose sum is σ = 38489283931392. Its totient is φ = 4252041216000.

The previous prime is 13320000020317. The next prime is 13320000020321. The reversal of 13320000020320 is 2302000002331.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 13320000020294 and 13320000020303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13320000020321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3117245704 + ... + 3117249976.

It is an arithmetic number, because the mean of its divisors is an integer number (100232510238).

Almost surely, 2^{13320000020320} is an apocalyptic number.

13320000020320 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 13320000020320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19244641965696).

13320000020320 is an abundant number, since it is smaller than the sum of its proper divisors (25169283911072).

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

13320000020320 is a wasteful number, since it uses less digits than its factorization.

13320000020320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6034 (or 6026 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

Adding to 13320000020320 its reverse (2302000002331), we get a palindrome (15622000022651).

The spelling of 13320000020320 in words is "thirteen trillion, three hundred twenty billion, twenty thousand, three hundred twenty".