13321240431040 has 112 divisors (see below), whose sum is σ = 31854231521280. Its totient is φ = 5306159232000.

The previous prime is 13321240431017. The next prime is 13321240431047. The reversal of 13321240431040 is 4013404212331.

It is a happy number.

13321240431040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13321240431047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 461263321 + ... + 461292199.

It is an arithmetic number, because the mean of its divisors is an integer number (284412781440).

Almost surely, 2^{13321240431040} is an apocalyptic number.

13321240431040 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 13321240431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15927115760640).

13321240431040 is an abundant number, since it is smaller than the sum of its proper divisors (18532991090240).

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

13321240431040 is a wasteful number, since it uses less digits than its factorization.

13321240431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34890 (or 34880 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 13321240431040 its reverse (4013404212331), we get a palindrome (17334644643371).

The spelling of 13321240431040 in words is "thirteen trillion, three hundred twenty-one billion, two hundred forty million, four hundred thirty-one thousand, forty".