13531200240 has 80 divisors (see below), whose sum is σ = 41973804576. Its totient is φ = 3605990400.

The previous prime is 13531200223. The next prime is 13531200251. The reversal of 13531200240 is 4200213531.

13531200240 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 an unprimeable number.

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, 371650 + ... + 406430.

Almost surely, 2^13531200240 is an apocalyptic number.

13531200240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13531200240 is an abundant number, since it is smaller than the sum of its proper divisors (28442604336).

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

13531200240 is a wasteful number, since it uses less digits than its factorization.

13531200240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36418 (or 36412 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 13531200240 its reverse (4200213531), we get a palindrome (17731413771).

The spelling of 13531200240 in words is "thirteen billion, five hundred thirty-one million, two hundred thousand, two hundred forty".