13211314304 has 64 divisors (see below), whose sum is σ = 26615251680. Its totient is φ = 6531840000.

The previous prime is 13211314283. The next prime is 13211314307. The reversal of 13211314304 is 40341311231.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 13211314304.

It is not an unprimeable number, because it can be changed into a prime (13211314307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4400804 + ... + 4403804.

Almost surely, 2^13211314304 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 13211314304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13307625840).

13211314304 is an abundant number, since it is smaller than the sum of its proper divisors (13403937376).

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

13211314304 is a wasteful number, since it uses less digits than its factorization.

13211314304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3389 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 13211314304 its reverse (40341311231), we get a palindrome (53552625535).

The spelling of 13211314304 in words is "thirteen billion, two hundred eleven million, three hundred fourteen thousand, three hundred four".