I was watching a youtube video for the duality property for continuous time Fourier transforms, which shows that if Fourier transform of $x(t)$ is $X(\omega)$ then Fourier transform of $X(t)$ is $2\pi x(-\omega)$

Then how will duality look like in the case of the DFT?

Will it look like below?

If DFT of $x[n]$ is $X[k]$

then DFT of $X[n]$ is $2\pi x[-k]$

Link of the youtube video: https://www.youtube.com/watch?v=9OK_i-n8gN8