13330221120 has 168 divisors, whose sum is σ = 46324061784. Its totient is φ = 3518005248.

The previous prime is 13330221083. The next prime is 13330221127. The reversal of 13330221120 is 2112203331.

13330221120 is a `hidden beast` number, since 133 + 302 + 211 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 437981184 + 12892239936 = 20928^2 + 113544^2 .

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 = 13330221093 and 13330221102.

It is not an unprimeable number, because it can be changed into a prime (13330221127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255502 + ... + 303218.

It is an arithmetic number, because the mean of its divisors is an integer number (275738463).

Almost surely, 2^13330221120 is an apocalyptic number.

13330221120 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 13330221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23162030892).

13330221120 is an abundant number, since it is smaller than the sum of its proper divisors (32993840664).

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

13330221120 is a wasteful number, since it uses less digits than its factorization.

13330221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47837 (or 47824 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 13330221120 its reverse (2112203331), we get a palindrome (15442424451).

The spelling of 13330221120 in words is "thirteen billion, three hundred thirty million, two hundred twenty-one thousand, one hundred twenty".