13321442031040 has 336 divisors, whose sum is σ = 39758596851456. Its totient is φ = 4208498933760.

The previous prime is 13321442031017. The next prime is 13321442031049. The reversal of 13321442031040 is 4013024412331.

It is a happy number.

13321442031040 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 (13321442031049) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7778737 + ... + 9335503.

It is an arithmetic number, because the mean of its divisors is an integer number (118329157296).

Almost surely, 2^{13321442031040} is an apocalyptic number.

13321442031040 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 13321442031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19879298425728).

13321442031040 is an abundant number, since it is smaller than the sum of its proper divisors (26437154820416).

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

13321442031040 is a wasteful number, since it uses less digits than its factorization.

13321442031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556836 (or 1556815 counting only the distinct ones).

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

Adding to 13321442031040 its reverse (4013024412331), we get a palindrome (17334466443371).

The spelling of 13321442031040 in words is "thirteen trillion, three hundred twenty-one billion, four hundred forty-two million, thirty-one thousand, forty".