13324917312 has 210 divisors, whose sum is σ = 45948958902. Its totient is φ = 3807046656.

The previous prime is 13324917289. The next prime is 13324917349. The reversal of 13324917312 is 21371942331.

13324917312 is a `hidden beast` number, since 1 + 3 + 324 + 9 + 17 + 312 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13320853056 + 4064256 = 115416^2 + 2016^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 227788 + ... + 280244.

Almost surely, 2^13324917312 is an apocalyptic number.

13324917312 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 13324917312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22974479451).

13324917312 is an abundant number, since it is smaller than the sum of its proper divisors (32624041590).

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

13324917312 is an equidigital number, since it uses as much as digits as its factorization.

13324917312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52495 (or 52469 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The spelling of 13324917312 in words is "thirteen billion, three hundred twenty-four million, nine hundred seventeen thousand, three hundred twelve".