13321013040240 has 160 divisors (see below), whose sum is σ = 41412456576000. Its totient is φ = 3542188919808.

The previous prime is 13321013040229. The next prime is 13321013040259. The reversal of 13321013040240 is 4204031012331.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13321013040240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166528894 + ... + 166608866.

It is an arithmetic number, because the mean of its divisors is an integer number (258827853600).

Almost surely, 2^{13321013040240} is an apocalyptic number.

13321013040240 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 13321013040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20706228288000).

13321013040240 is an abundant number, since it is smaller than the sum of its proper divisors (28091443535760).

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

13321013040240 is a wasteful number, since it uses less digits than its factorization.

13321013040240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81951 (or 81945 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13321013040240 its reverse (4204031012331), we get a palindrome (17525044052571).

The spelling of 13321013040240 in words is "thirteen trillion, three hundred twenty-one billion, thirteen million, forty thousand, two hundred forty".