13323000240 has 720 divisors, whose sum is σ = 52638505920. Its totient is φ = 3010867200.

The previous prime is 13323000227. The next prime is 13323000253. The reversal of 13323000240 is 4200032331.

It is an interprime number because it is at equal distance from previous prime (13323000227) and next prime (13323000253).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 122229306 + ... + 122229414.

It is an arithmetic number, because the mean of its divisors is an integer number (73109036).

Almost surely, 2^13323000240 is an apocalyptic number.

13323000240 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 13323000240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26319252960).

13323000240 is an abundant number, since it is smaller than the sum of its proper divisors (39315505680).

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

13323000240 is a wasteful number, since it uses less digits than its factorization.

13323000240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 13323000240 its reverse (4200032331), we get a palindrome (17523032571).

The spelling of 13323000240 in words is "thirteen billion, three hundred twenty-three million, two hundred forty", and thus it is an aban number.