13331413332 has 36 divisors (see below), whose sum is σ = 34860882420. Its totient is φ = 4290569472.

The previous prime is 13331413301. The next prime is 13331413357. The reversal of 13331413332 is 23331413331.

13331413332 is a `hidden beast` number, since 1 + 3 + 3 + 314 + 13 + 332 = 666.

13331413332 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 2 ways, for example, as 8296659396 + 5034753936 = 91086^2 + 70956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 13331413296 and 13331413305.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 6383733 + ... + 6385820.

It is an arithmetic number, because the mean of its divisors is an integer number (968357845).

Almost surely, 2^13331413332 is an apocalyptic number.

13331413332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13331413332 is an abundant number, since it is smaller than the sum of its proper divisors (21529469088).

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

13331413332 is a wasteful number, since it uses less digits than its factorization.

13331413332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12769592 (or 12769587 counting only the distinct ones).

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

Adding to 13331413332 its reverse (23331413331), we get a palindrome (36662826663).

Subtracting 13331413332 from its reverse (23331413331), we obtain a palindrome (9999999999).

The spelling of 13331413332 in words is "thirteen billion, three hundred thirty-one million, four hundred thirteen thousand, three hundred thirty-two".