13211221320 has 96 divisors (see below), whose sum is σ = 46839798720. Its totient is φ = 3202719360.

The previous prime is 13211221301. The next prime is 13211221327. The reversal of 13211221320 is 2312211231.

13211221320 is a `hidden beast` number, since 1 + 321 + 1 + 2 + 21 + 320 = 666.

13211221320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13211221293 and 13211221302.

It is not an unprimeable number, because it can be changed into a prime (13211221327) 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 23 ways as a sum of consecutive naturals, for example, 1664124 + ... + 1672043.

It is an arithmetic number, because the mean of its divisors is an integer number (487914570).

Almost surely, 2^13211221320 is an apocalyptic number.

13211221320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13211221320 is an abundant number, since it is smaller than the sum of its proper divisors (33628577400).

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

13211221320 is a wasteful number, since it uses less digits than its factorization.

13211221320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336195 (or 3336188 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13211221320 its reverse (2312211231), we get a palindrome (15523432551).

The spelling of 13211221320 in words is "thirteen billion, two hundred eleven million, two hundred twenty-one thousand, three hundred twenty".