13105467121 has 2 divisors, whose sum is σ = 13105467122. Its totient is φ = 13105467120.

The previous prime is 13105467119. The next prime is 13105467149. The reversal of 13105467121 is 12176450131.

13105467121 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., 8431830625 + 4673636496 = 91825^2 + 68364^2 .

It is a cyclic number.

It is not a de Polignac number, because 13105467121 - 2¹ = 13105467119 is a prime.

It is a super-2 number, since 2×13105467121² (a number of 21 digits) contains 22 as substring.

Together with 13105467119, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (13105467191) 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, 6552733560 + 6552733561.

It is an arithmetic number, because the mean of its divisors is an integer number (6552733561).

Almost surely, 2^13105467121 is an apocalyptic number.

It is an amenable number.

13105467121 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105467121 is an equidigital number, since it uses as much as digits as its factorization.

13105467121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 31.

The spelling of 13105467121 in words is "thirteen billion, one hundred five million, four hundred sixty-seven thousand, one hundred twenty-one".