13331332114320 has 320 divisors, whose sum is σ = 46504904567040. Its totient is φ = 3130754457600.

The previous prime is 13331332114313. The next prime is 13331332114349. The reversal of 13331332114320 is 2341123313331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22070730 + ... + 22666710.

It is an arithmetic number, because the mean of its divisors is an integer number (145327826772).

Almost surely, 2^{13331332114320} is an apocalyptic number.

13331332114320 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 13331332114320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23252452283520).

13331332114320 is an abundant number, since it is smaller than the sum of its proper divisors (33173572452720).

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

13331332114320 is a wasteful number, since it uses less digits than its factorization.

13331332114320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596274 (or 596268 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

Adding to 13331332114320 its reverse (2341123313331), we get a palindrome (15672455427651).

The spelling of 13331332114320 in words is "thirteen trillion, three hundred thirty-one billion, three hundred thirty-two million, one hundred fourteen thousand, three hundred twenty".