13313211322304 has 56 divisors (see below), whose sum is σ = 26799749019648. Its totient is φ = 6560583438080.

The previous prime is 13313211322289. The next prime is 13313211322331. The reversal of 13313211322304 is 40322311231331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12686609 + ... + 13695855.

Almost surely, 2^{13313211322304} 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 13313211322304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13399874509824).

13313211322304 is an abundant number, since it is smaller than the sum of its proper divisors (13486537697344).

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

13313211322304 is a wasteful number, since it uses less digits than its factorization.

13313211322304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012233 (or 1012223 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 13313211322304 its reverse (40322311231331), we get a palindrome (53635522553635).

The spelling of 13313211322304 in words is "thirteen trillion, three hundred thirteen billion, two hundred eleven million, three hundred twenty-two thousand, three hundred four".