13310022213312 has 224 divisors, whose sum is σ = 40809954366720. Its totient is φ = 3783716536320.

The previous prime is 13310022213311. The next prime is 13310022213317. The reversal of 13310022213312 is 21331222001331.

13310022213312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13310022213311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10418764 + ... + 11626292.

It is an arithmetic number, because the mean of its divisors is an integer number (182187296280).

Almost surely, 2^{13310022213312} is an apocalyptic number.

13310022213312 is a gapful number since it is divisible by the number (12) 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 13310022213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20404977183360).

13310022213312 is an abundant number, since it is smaller than the sum of its proper divisors (27499932153408).

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

13310022213312 is a wasteful number, since it uses less digits than its factorization.

13310022213312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207879 (or 1207869 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13310022213312 its reverse (21331222001331), we get a palindrome (34641244214643).

The spelling of 13310022213312 in words is "thirteen trillion, three hundred ten billion, twenty-two million, two hundred thirteen thousand, three hundred twelve".