13322110032000 has 768 divisors, whose sum is σ = 59648499705600. Its totient is φ = 2768228352000.

The previous prime is 13322110031957. The next prime is 13322110032053. The reversal of 13322110032000 is 23001122331.

13322110032000 is a `hidden beast` number, since 1 + 332 + 2 + 1 + 10 + 0 + 320 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 95 ways as a sum of consecutive naturals, for example, 10487256 + ... + 11688744.

It is an arithmetic number, because the mean of its divisors is an integer number (77667317325).

Almost surely, 2^{13322110032000} is an apocalyptic number.

13322110032000 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 13322110032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29824249852800).

13322110032000 is an abundant number, since it is smaller than the sum of its proper divisors (46326389673600).

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

13322110032000 is a wasteful number, since it uses less digits than its factorization.

13322110032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201542 (or 1201517 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13322110032000 its reverse (23001122331), we get a palindrome (13345111154331).

The spelling of 13322110032000 in words is "thirteen trillion, three hundred twenty-two billion, one hundred ten million, thirty-two thousand".