13322323314104 has 64 divisors (see below), whose sum is σ = 28942172851200. Its totient is φ = 5630864563584.

The previous prime is 13322323314077. The next prime is 13322323314107. The reversal of 13322323314104 is 40141332322331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13322323314107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2162987 + ... + 5596709.

It is an arithmetic number, because the mean of its divisors is an integer number (452221450800).

Almost surely, 2^{13322323314104} is an apocalyptic number.

13322323314104 is a gapful number since it is divisible by the number (14) 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 13322323314104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14471086425600).

13322323314104 is an abundant number, since it is smaller than the sum of its proper divisors (15619849537096).

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

13322323314104 is a wasteful number, since it uses less digits than its factorization.

13322323314104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434692 (or 3434688 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 13322323314104 its reverse (40141332322331), we get a palindrome (53463655636435).

The spelling of 13322323314104 in words is "thirteen trillion, three hundred twenty-two billion, three hundred twenty-three million, three hundred fourteen thousand, one hundred four".