13824000013 has 2 divisors, whose sum is σ = 13824000014. Its totient is φ = 13824000012.

The previous prime is 13823999983. The next prime is 13824000077. The reversal of 13824000013 is 31000042831.

13824000013 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., 10829940489 + 2994059524 = 104067^2 + 54718^2 .

It is an emirp because it is prime and its reverse (31000042831) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 13824000013 - 2¹⁷ = 13823868941 is a prime.

It is a super-2 number, since 2×13824000013² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13824000613) 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 as a sum of consecutive naturals, namely, 6912000006 + 6912000007.

It is an arithmetic number, because the mean of its divisors is an integer number (6912000007).

Almost surely, 2^13824000013 is an apocalyptic number.

It is an amenable number.

13824000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

13824000013 is an equidigital number, since it uses as much as digits as its factorization.

13824000013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 13824000013 its reverse (31000042831), we get a palindrome (44824042844).

The spelling of 13824000013 in words is "thirteen billion, eight hundred twenty-four million, thirteen", and thus it is an aban number.