13323331320 has 192 divisors, whose sum is σ = 43408068480. Its totient is φ = 3269979648.

The previous prime is 13323331291. The next prime is 13323331321. The reversal of 13323331320 is 2313332331.

13323331320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13323331320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13323331321) 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 47 ways as a sum of consecutive naturals, for example, 8983299 + ... + 8984781.

It is an arithmetic number, because the mean of its divisors is an integer number (226083690).

Almost surely, 2^13323331320 is an apocalyptic number.

13323331320 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 13323331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21704034240).

13323331320 is an abundant number, since it is smaller than the sum of its proper divisors (30084737160).

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

13323331320 is a wasteful number, since it uses less digits than its factorization.

13323331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 24.

Adding to 13323331320 its reverse (2313332331), we get a palindrome (15636663651).

The spelling of 13323331320 in words is "thirteen billion, three hundred twenty-three million, three hundred thirty-one thousand, three hundred twenty".