13321221120 has 616 divisors, whose sum is σ = 49615939296. Its totient is φ = 3427909632.

The previous prime is 13321221107. The next prime is 13321221149. The reversal of 13321221120 is 2112212331.

13321221120 is a `hidden beast` number, since 1 + 3 + 321 + 221 + 120 = 666.

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 = 13321221093 and 13321221102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 160496599 + ... + 160496681.

It is an arithmetic number, because the mean of its divisors is an integer number (80545356).

Almost surely, 2^13321221120 is an apocalyptic number.

13321221120 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 13321221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24807969648).

13321221120 is an abundant number, since it is smaller than the sum of its proper divisors (36294718176).

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

13321221120 is an frugal number, since it uses more digits than its factorization.

13321221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

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

Adding to 13321221120 its reverse (2112212331), we get a palindrome (15433433451).

The spelling of 13321221120 in words is "thirteen billion, three hundred twenty-one million, two hundred twenty-one thousand, one hundred twenty".