12724288105813 has 2 divisors, whose sum is σ = 12724288105814. Its totient is φ = 12724288105812.

The previous prime is 12724288105783. The next prime is 12724288105847. The reversal of 12724288105813 is 31850188242721.

12724288105813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7984427902929 + 4739860202884 = 2825673^2 + 2177122^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-12724288105813 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12724288105913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6362144052906 + 6362144052907.

It is an arithmetic number, because the mean of its divisors is an integer number (6362144052907).

Almost surely, 2^{12724288105813} is an apocalyptic number.

It is an amenable number.

12724288105813 is a deficient number, since it is larger than the sum of its proper divisors (1).

12724288105813 is an equidigital number, since it uses as much as digits as its factorization.

12724288105813 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1720320, while the sum is 52.

The spelling of 12724288105813 in words is "twelve trillion, seven hundred twenty-four billion, two hundred eighty-eight million, one hundred five thousand, eight hundred thirteen".