13321333113120 has 288 divisors, whose sum is σ = 46146498128640. Its totient is φ = 3498656071680.

The previous prime is 13321333113091. The next prime is 13321333113169. The reversal of 13321333113120 is 2131133312331.

13321333113120 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 1 + 33 + 311 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13321333113120² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 671394400 + ... + 671414240.

It is an arithmetic number, because the mean of its divisors is an integer number (160230896280).

Almost surely, 2^{13321333113120} is an apocalyptic number.

13321333113120 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 13321333113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23073249064320).

13321333113120 is an abundant number, since it is smaller than the sum of its proper divisors (32825165015520).

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

13321333113120 is a wasteful number, since it uses less digits than its factorization.

13321333113120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26888 (or 26877 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13321333113120 its reverse (2131133312331), we get a palindrome (15452466425451).

The spelling of 13321333113120 in words is "thirteen trillion, three hundred twenty-one billion, three hundred thirty-three million, one hundred thirteen thousand, one hundred twenty".