13218306432 has 64 divisors (see below), whose sum is σ = 35534237760. Its totient is φ = 4353006080.

The previous prime is 13218306391. The next prime is 13218306449. The reversal of 13218306432 is 23460381231.

13218306432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 13218306393 and 13218306402.

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 7 ways as a sum of consecutive naturals, for example, 175494 + ... + 239237.

It is an arithmetic number, because the mean of its divisors is an integer number (555222465).

Almost surely, 2^13218306432 is an apocalyptic number.

13218306432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13218306432 is an abundant number, since it is smaller than the sum of its proper divisors (22315931328).

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

13218306432 is an equidigital number, since it uses as much as digits as its factorization.

13218306432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414831 (or 414819 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

Adding to 13218306432 its reverse (23460381231), we get a palindrome (36678687663).

The spelling of 13218306432 in words is "thirteen billion, two hundred eighteen million, three hundred six thousand, four hundred thirty-two".