13312243120224 has 96 divisors (see below), whose sum is σ = 35391671812224. Its totient is φ = 4380726855680.

The previous prime is 13312243120139. The next prime is 13312243120247. The reversal of 13312243120224 is 42202134221331.

It is a happy number.

13312243120224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 13312243120191 and 13312243120200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10230667 + ... + 11458229.

It is an arithmetic number, because the mean of its divisors is an integer number (368663248044).

Almost surely, 2^{13312243120224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13312243120224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17695835906112).

13312243120224 is an abundant number, since it is smaller than the sum of its proper divisors (22079428692000).

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

13312243120224 is a wasteful number, since it uses less digits than its factorization.

13312243120224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1229020 (or 1229012 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13312243120224 its reverse (42202134221331), we get a palindrome (55514377341555).

The spelling of 13312243120224 in words is "thirteen trillion, three hundred twelve billion, two hundred forty-three million, one hundred twenty thousand, two hundred twenty-four".