13301244400 has 240 divisors, whose sum is σ = 34894909440. Its totient is φ = 4859366400.

The previous prime is 13301244373. The next prime is 13301244401. The reversal of 13301244400 is 444210331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301244401) 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, 16900807 + ... + 16901593.

It is an arithmetic number, because the mean of its divisors is an integer number (145395456).

Almost surely, 2^13301244400 is an apocalyptic number.

13301244400 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 13301244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17447454720).

13301244400 is an abundant number, since it is smaller than the sum of its proper divisors (21593665040).

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

13301244400 is a wasteful number, since it uses less digits than its factorization.

13301244400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13301244400 its reverse (444210331), we get a palindrome (13745454731).

The spelling of 13301244400 in words is "thirteen billion, three hundred one million, two hundred forty-four thousand, four hundred".