13321030124440 has 128 divisors (see below), whose sum is σ = 32834552688000. Its totient is φ = 4841332973568.

The previous prime is 13321030124417. The next prime is 13321030124453. The reversal of 13321030124440 is 4442103012331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13321030124399 and 13321030124408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144560701 + ... + 144652819.

It is an arithmetic number, because the mean of its divisors is an integer number (256519942875).

Almost surely, 2^{13321030124440} is an apocalyptic number.

13321030124440 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 13321030124440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16417276344000).

13321030124440 is an abundant number, since it is smaller than the sum of its proper divisors (19513522563560).

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

13321030124440 is a wasteful number, since it uses less digits than its factorization.

13321030124440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99509 (or 99505 counting only the distinct ones).

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

Adding to 13321030124440 its reverse (4442103012331), we get a palindrome (17763133136771).

The spelling of 13321030124440 in words is "thirteen trillion, three hundred twenty-one billion, thirty million, one hundred twenty-four thousand, four hundred forty".