13323122213000 has 128 divisors (see below), whose sum is σ = 31454251171200. Its totient is φ = 5281806816000.

The previous prime is 13323122212999. The next prime is 13323122213003. The reversal of 13323122213000 is 31222132331.

It is not an unprimeable number, because it can be changed into a prime (13323122213003) by changing a digit.

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, 103032386 + ... + 103161614.

It is an arithmetic number, because the mean of its divisors is an integer number (245736337275).

Almost surely, 2^{13323122213000} is an apocalyptic number.

13323122213000 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 13323122213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15727125585600).

13323122213000 is an abundant number, since it is smaller than the sum of its proper divisors (18131128958200).

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

13323122213000 is a wasteful number, since it uses less digits than its factorization.

13323122213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130168 (or 130154 counting only the distinct ones).

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

Adding to 13323122213000 its reverse (31222132331), we get a palindrome (13354344345331).

The spelling of 13323122213000 in words is "thirteen trillion, three hundred twenty-three billion, one hundred twenty-two million, two hundred thirteen thousand".