13211000320 has 160 divisors (see below), whose sum is σ = 37085501376. Its totient is φ = 4418764800.

The previous prime is 13211000293. The next prime is 13211000323. The reversal of 13211000320 is 2300011231.

13211000320 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 (160).

It is a self number, because there is not a number n which added to its sum of digits gives 13211000320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13211000323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725730 + ... + 743710.

Almost surely, 2^13211000320 is an apocalyptic number.

13211000320 is a gapful number since it is divisible by the number (10) 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 13211000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18542750688).

13211000320 is an abundant number, since it is smaller than the sum of its proper divisors (23874501056).

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

13211000320 is an equidigital number, since it uses as much as digits as its factorization.

13211000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18052 (or 18036 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 13211000320 its reverse (2300011231), we get a palindrome (15511011551).

The spelling of 13211000320 in words is "thirteen billion, two hundred eleven million, three hundred twenty", and thus it is an aban number.