13323121322000 has 320 divisors, whose sum is σ = 37288438387200. Its totient is φ = 4509579110400.

The previous prime is 13323121321987. The next prime is 13323121322023. The reversal of 13323121322000 is 22312132331.

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 63 ways as a sum of consecutive naturals, for example, 1985854646 + ... + 1985861354.

It is an arithmetic number, because the mean of its divisors is an integer number (116526369960).

Almost surely, 2^{13323121322000} is an apocalyptic number.

13323121322000 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 13323121322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18644219193600).

13323121322000 is an abundant number, since it is smaller than the sum of its proper divisors (23965317065200).

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

13323121322000 is a wasteful number, since it uses less digits than its factorization.

13323121322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8531 (or 8515 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 13323121322000 its reverse (22312132331), we get a palindrome (13345433454331).

The spelling of 13323121322000 in words is "thirteen trillion, three hundred twenty-three billion, one hundred twenty-one million, three hundred twenty-two thousand".