There are no reliable apps that I am aware of that can detect if your phone is being tapped. However, there are apps for the Android platform that do have the capability of recording your calls and sending them back to the bad actors that created the app. To check for these apps, check the permissions for all of the installed apps on your device, following the steps I laid out above.
As for iPhone users, keep an eye on the indicator at the top of the screen to see if any app is using your microphone surreptitiously.