13332334312 has 64 divisors (see below), whose sum is σ = 27781185600. Its totient is φ = 5947069440.

The previous prime is 13332334271. The next prime is 13332334313. The reversal of 13332334312 is 21343323331.

13332334312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13332334312² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13332334313) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3513088 + ... + 3516880.

It is an arithmetic number, because the mean of its divisors is an integer number (434081025).

Almost surely, 2^13332334312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13332334312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13890592800).

13332334312 is an abundant number, since it is smaller than the sum of its proper divisors (14448851288).

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

13332334312 is a wasteful number, since it uses less digits than its factorization.

13332334312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4546 (or 4542 counting only the distinct ones).

The product of its digits is 11664, while the sum is 28.

Adding to 13332334312 its reverse (21343323331), we get a palindrome (34675657643).

The spelling of 13332334312 in words is "thirteen billion, three hundred thirty-two million, three hundred thirty-four thousand, three hundred twelve".