13333313412 has 72 divisors (see below), whose sum is σ = 35174706840. Its totient is φ = 4253168640.

The previous prime is 13333313407. The next prime is 13333313419. The reversal of 13333313412 is 21431333331.

13333313412 is a `hidden beast` number, since 1 + 3 + 333 + 313 + 4 + 12 = 666.

13333313412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 594579456 + 12738733956 = 24384^2 + 112866^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13333313419) 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 23 ways as a sum of consecutive naturals, for example, 61462 + ... + 174482.

It is an arithmetic number, because the mean of its divisors is an integer number (488537595).

Almost surely, 2^13333313412 is an apocalyptic number.

13333313412 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 13333313412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587353420).

13333313412 is an abundant number, since it is smaller than the sum of its proper divisors (21841393428).

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

13333313412 is a wasteful number, since it uses less digits than its factorization.

13333313412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113173 (or 113168 counting only the distinct ones).

The product of its digits is 5832, while the sum is 27.

Adding to 13333313412 its reverse (21431333331), we get a palindrome (34764646743).

The spelling of 13333313412 in words is "thirteen billion, three hundred thirty-three million, three hundred thirteen thousand, four hundred twelve".