KöMaL 2020 K655

The four-digit numbers $\overline{ABCD}$, $\overline{BCBA}$, $\overline{BDAB}$ and $\overline{DDAD}$ are distinct four-digit primes (different letters denote different digits). Which numbers are they? You can use website http://matek.com/szamok/primszamok to check if a particular four-digit number is a prime number.