13311040240 has 80 divisors (see below), whose sum is σ = 32748903936. Its totient is φ = 5021139200.

The previous prime is 13311040229. The next prime is 13311040247. The reversal of 13311040240 is 4204011331.

13311040240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13311040247) 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 15 ways as a sum of consecutive naturals, for example, 79695 + ... + 181585.

Almost surely, 2^13311040240 is an apocalyptic number.

13311040240 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 13311040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16374451968).

13311040240 is an abundant number, since it is smaller than the sum of its proper divisors (19437863696).

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

13311040240 is a wasteful number, since it uses less digits than its factorization.

13311040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101998 (or 101992 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 13311040240 its reverse (4204011331), we get a palindrome (17515051571).

The spelling of 13311040240 in words is "thirteen billion, three hundred eleven million, forty thousand, two hundred forty".