13306221262432 has 144 divisors (see below), whose sum is σ = 30759297987600. Its totient is φ = 5649259241472.

The previous prime is 13306221262337. The next prime is 13306221262441. The reversal of 13306221262432 is 23426212260331.

It is a junction number, because it is equal to n+sod(n) for n = 13306221262391 and 13306221262400.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 359133444 + ... + 359170492.

It is an arithmetic number, because the mean of its divisors is an integer number (213606236025).

Almost surely, 2^{13306221262432} 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 13306221262432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15379648993800).

13306221262432 is an abundant number, since it is smaller than the sum of its proper divisors (17453076725168).

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

13306221262432 is a wasteful number, since it uses less digits than its factorization.

13306221262432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39213 (or 39198 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The spelling of 13306221262432 in words is "thirteen trillion, three hundred six billion, two hundred twenty-one million, two hundred sixty-two thousand, four hundred thirty-two".