13233333321312 has 48 divisors (see below), whose sum is σ = 37409615354160. Its totient is φ = 4071794867712.

The previous prime is 13233333321281. The next prime is 13233333321319. The reversal of 13233333321312 is 21312333333231.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×13233333321312² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13233333321319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5301814987 + ... + 5301817482.

It is an arithmetic number, because the mean of its divisors is an integer number (779366986545).

Almost surely, 2^{13233333321312} is an apocalyptic number.

13233333321312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13233333321312 is an abundant number, since it is smaller than the sum of its proper divisors (24176282032848).

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

13233333321312 is a wasteful number, since it uses less digits than its factorization.

13233333321312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10603632495 (or 10603632487 counting only the distinct ones).

The product of its digits is 52488, while the sum is 33.

Adding to 13233333321312 its reverse (21312333333231), we get a palindrome (34545666654543).

The spelling of 13233333321312 in words is "thirteen trillion, two hundred thirty-three billion, three hundred thirty-three million, three hundred twenty-one thousand, three hundred twelve".