11289013125193 has 2 divisors, whose sum is σ = 11289013125194. Its totient is φ = 11289013125192.

The previous prime is 11289013125113. The next prime is 11289013125199. The reversal of 11289013125193 is 39152131098211.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6430215709369 + 4858797415824 = 2535787^2 + 2204268^2 .

It is a cyclic number.

It is not a de Polignac number, because 11289013125193 - 2²⁹ = 11288476254281 is a prime.

It is not a weakly prime, because it can be changed into another prime (11289013125199) 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, 5644506562596 + 5644506562597.

It is an arithmetic number, because the mean of its divisors is an integer number (5644506562597).

Almost surely, 2^{11289013125193} is an apocalyptic number.

It is an amenable number.

11289013125193 is a deficient number, since it is larger than the sum of its proper divisors (1).

11289013125193 is an equidigital number, since it uses as much as digits as its factorization.

11289013125193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 116640, while the sum is 46.

The spelling of 11289013125193 in words is "eleven trillion, two hundred eighty-nine billion, thirteen million, one hundred twenty-five thousand, one hundred ninety-three".