13302440020320 has 192 divisors, whose sum is σ = 46775092218624. Its totient is φ = 3149837752320.

The previous prime is 13302440020297. The next prime is 13302440020349. The reversal of 13302440020320 is 2302004420331.

It is a super-3 number, since 3×13302440020320³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 29068327 + ... + 29522406.

It is an arithmetic number, because the mean of its divisors is an integer number (243620271972).

Almost surely, 2^{13302440020320} is an apocalyptic number.

13302440020320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13302440020320 is an abundant number, since it is smaller than the sum of its proper divisors (33472652198304).

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

13302440020320 is a wasteful number, since it uses less digits than its factorization.

13302440020320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58590805 (or 58590797 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13302440020320 its reverse (2302004420331), we get a palindrome (15604444440651).

The spelling of 13302440020320 in words is "thirteen trillion, three hundred two billion, four hundred forty million, twenty thousand, three hundred twenty".