13200133241344 has 160 divisors (see below), whose sum is σ = 30979729313280. Its totient is φ = 5501556523008.

The previous prime is 13200133241311. The next prime is 13200133241359. The reversal of 13200133241344 is 44314233100231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26196772 + ... + 26695900.

It is an arithmetic number, because the mean of its divisors is an integer number (193623308208).

Almost surely, 2^{13200133241344} is an apocalyptic number.

13200133241344 is a gapful number since it is divisible by the number (14) 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 13200133241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15489864656640).

13200133241344 is an abundant number, since it is smaller than the sum of its proper divisors (17779596071936).

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

13200133241344 is an equidigital number, since it uses as much as digits as its factorization.

13200133241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499358 (or 499342 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 13200133241344 its reverse (44314233100231), we get a palindrome (57514366341575).

The spelling of 13200133241344 in words is "thirteen trillion, two hundred billion, one hundred thirty-three million, two hundred forty-one thousand, three hundred forty-four".