13301441224000 has 224 divisors, whose sum is σ = 33437386958976. Its totient is φ = 5240787148800.

The previous prime is 13301441223989. The next prime is 13301441224009. The reversal of 13301441224000 is 42214410331.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301441224009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223738279 + ... + 223797721.

It is an arithmetic number, because the mean of its divisors is an integer number (149274048924).

Almost surely, 2^{13301441224000} is an apocalyptic number.

13301441224000 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 13301441224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16718693479488).

13301441224000 is an abundant number, since it is smaller than the sum of its proper divisors (20135945734976).

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

13301441224000 is an equidigital number, since it uses as much as digits as its factorization.

13301441224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59890 (or 59870 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 13301441224000 its reverse (42214410331), we get a palindrome (13343655634331).

The spelling of 13301441224000 in words is "thirteen trillion, three hundred one billion, four hundred forty-one million, two hundred twenty-four thousand".