13338883332 has 168 divisors, whose sum is σ = 37763928216. Its totient is φ = 4104981504.

The previous prime is 13338883319. The next prime is 13338883333. The reversal of 13338883332 is 23338883331.

It can be written as a sum of positive squares in 4 ways, for example, as 8991590976 + 4347292356 = 94824^2 + 65934^2 .

It is a super-3 number, since 3×13338883332³ (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13338883333) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2624778 + ... + 2629854.

It is an arithmetic number, because the mean of its divisors is an integer number (224785287).

Almost surely, 2^13338883332 is an apocalyptic number.

13338883332 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 13338883332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18881964108).

13338883332 is an abundant number, since it is smaller than the sum of its proper divisors (24425044884).

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

13338883332 is a wasteful number, since it uses less digits than its factorization.

13338883332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169 (or 5152 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

Subtracting 13338883332 from its reverse (23338883331), we obtain a palindrome (9999999999).

The spelling of 13338883332 in words is "thirteen billion, three hundred thirty-eight million, eight hundred eighty-three thousand, three hundred thirty-two".