13105403434289 has 2 divisors, whose sum is σ = 13105403434290. Its totient is φ = 13105403434288.

The previous prime is 13105403434261. The next prime is 13105403434349. The reversal of 13105403434289 is 98243430450131.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8859195073600 + 4246208360689 = 2976440^2 + 2060633^2 .

It is a cyclic number.

It is not a de Polignac number, because 13105403434289 - 2⁸ = 13105403434033 is a prime.

It is not a weakly prime, because it can be changed into another prime (13105403434219) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6552701717144 + 6552701717145.

It is an arithmetic number, because the mean of its divisors is an integer number (6552701717145).

Almost surely, 2^{13105403434289} is an apocalyptic number.

It is an amenable number.

13105403434289 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105403434289 is an equidigital number, since it uses as much as digits as its factorization.

13105403434289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1244160, while the sum is 47.

The spelling of 13105403434289 in words is "thirteen trillion, one hundred five billion, four hundred three million, four hundred thirty-four thousand, two hundred eighty-nine".