13352410322304 has 512 divisors, whose sum is σ = 40115865600000. Its totient is φ = 3910157991936.

The previous prime is 13352410322291. The next prime is 13352410322347. The reversal of 13352410322304 is 40322301425331.

It is a super-2 number, since 2×13352410322304² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2347054692 + ... + 2347060380.

It is an arithmetic number, because the mean of its divisors is an integer number (78351300000).

Almost surely, 2^{13352410322304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13352410322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20057932800000).

13352410322304 is an abundant number, since it is smaller than the sum of its proper divisors (26763455277696).

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

13352410322304 is a wasteful number, since it uses less digits than its factorization.

13352410322304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6018 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 13352410322304 its reverse (40322301425331), we get a palindrome (53674711747635).

The spelling of 13352410322304 in words is "thirteen trillion, three hundred fifty-two billion, four hundred ten million, three hundred twenty-two thousand, three hundred four".