13133323322112 has 144 divisors (see below), whose sum is σ = 39956733637632. Its totient is φ = 3751481794560.

The previous prime is 13133323322101. The next prime is 13133323322129. The reversal of 13133323322112 is 21122332333131.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13133323322112.

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 15 ways as a sum of consecutive naturals, for example, 22380937 + ... + 22960247.

It is an arithmetic number, because the mean of its divisors is an integer number (277477316928).

Almost surely, 2^{13133323322112} is an apocalyptic number.

13133323322112 is a gapful number since it is divisible by the number (12) 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 13133323322112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19978366818816).

13133323322112 is an abundant number, since it is smaller than the sum of its proper divisors (26823410315520).

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

13133323322112 is an equidigital number, since it uses as much as digits as its factorization.

13133323322112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583554 (or 583540 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

Adding to 13133323322112 its reverse (21122332333131), we get a palindrome (34255655655243).

The spelling of 13133323322112 in words is "thirteen trillion, one hundred thirty-three billion, three hundred twenty-three million, three hundred twenty-two thousand, one hundred twelve".