13233254042344 has 128 divisors (see below), whose sum is σ = 29117594880000. Its totient is φ = 5520219828480.

The previous prime is 13233254042311. The next prime is 13233254042357. The reversal of 13233254042344 is 44324045233231.

It is a junction number, because it is equal to n+sod(n) for n = 13233254042297 and 13233254042306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980306907 + ... + 980320405.

It is an arithmetic number, because the mean of its divisors is an integer number (227481210000).

Almost surely, 2^{13233254042344} is an apocalyptic number.

13233254042344 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 13233254042344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14558797440000).

13233254042344 is an abundant number, since it is smaller than the sum of its proper divisors (15884340837656).

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

13233254042344 is a wasteful number, since it uses less digits than its factorization.

13233254042344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14943 (or 14939 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 40.

Adding to 13233254042344 its reverse (44324045233231), we get a palindrome (57557299275575).

The spelling of 13233254042344 in words is "thirteen trillion, two hundred thirty-three billion, two hundred fifty-four million, forty-two thousand, three hundred forty-four".