113505144250193 has 2 divisors, whose sum is σ = 113505144250194. Its totient is φ = 113505144250192.

The previous prime is 113505144250159. The next prime is 113505144250261. The reversal of 113505144250193 is 391052441505311.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67819062564289 + 45686081685904 = 8235233^2 + 6759148^2 .

It is a cyclic number.

It is not a de Polignac number, because 113505144250193 - 2²⁰ = 113505143201617 is a prime.

It is not a weakly prime, because it can be changed into another prime (113505144250493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56752572125096 + 56752572125097.

It is an arithmetic number, because the mean of its divisors is an integer number (56752572125097).

Almost surely, 2^{113505144250193} is an apocalyptic number.

It is an amenable number.

113505144250193 is a deficient number, since it is larger than the sum of its proper divisors (1).

113505144250193 is an equidigital number, since it uses as much as digits as its factorization.

113505144250193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324000, while the sum is 44.

The spelling of 113505144250193 in words is "one hundred thirteen trillion, five hundred five billion, one hundred forty-four million, two hundred fifty thousand, one hundred ninety-three".