12734400013 has 8 divisors (see below), whose sum is σ = 12790726200. Its totient is φ = 12678140928.

The previous prime is 12734399987. The next prime is 12734400017. The reversal of 12734400013 is 31000443721.

12734400013 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 135908964 + 12598491049 = 11658^2 + 112243^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12734400013 - 2⁹ = 12734399501 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12734400017) 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 7 ways as a sum of consecutive naturals, for example, 384645 + ... + 416437.

It is an arithmetic number, because the mean of its divisors is an integer number (1598840775).

Almost surely, 2^12734400013 is an apocalyptic number.

It is an amenable number.

12734400013 is a deficient number, since it is larger than the sum of its proper divisors (56326187).

12734400013 is a wasteful number, since it uses less digits than its factorization.

12734400013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33551.

The product of its (nonzero) digits is 2016, while the sum is 25.

Adding to 12734400013 its reverse (31000443721), we get a palindrome (43734843734).

The spelling of 12734400013 in words is "twelve billion, seven hundred thirty-four million, four hundred thousand, thirteen".