Pi-hole exposed to open internet?

The issue I am facing:

curl ifconfig.me; echo

delivers the public IP of my internet connection/my modem. In a different thread it has been stated that if this is the case, your pi-hole is exposed to the open internet. If I follow that public IP, I am at my modem's landing page and need to login. So, is my pi-hole exposed to the internet or not? I would have expected getting through to the pi-hole webinterface if it is exposed.

Details about my system:

https://tricorder.pi-hole.net/JtRevJNL/

It is a pi-hole installation plus unbound and some ad lists and regex

What I have changed since installing Pi-hole:

nothing

Thanks a lot for help upfront

These are the results from https://openresolver.com/ providing my public IP. So I suppose I am safe?!

As long as you are not seeing the Pi-hole interface and you do not have port 53 forwarded from your modem to the Pi-hole server then you're fine.

That recursive resolver test is a great way to check. You can also use an online port checker to see what ports are open. The key port is tcp/udp 53.

Thanks @DanSchaper for the quick and explanatory answer - much appreciated!

Just in addition to Dan's comments - running that command, it is expected to return your public IP. You can even load it in a browser:

I've not fully read the other thread - but from a glance it looks like @Bucking_Horn was just asking the user for their public IP to confirm that they were indeed running an open resolver (note in the next comment it has been redacted)

Good hint, cheers! All popular ports (FTP, HTTP/S, SSH, TELNET, ... whatnot) are closed as well as another good fraction of ports the online tools contained in their checks. Glad I double checked phew

Thanks!

FYI, combining both ifconfig.me and test.openresolver.com:

dig +short @$(curl -s ifconfig.me) test.openresolver.com txt

Also you can initiate a remote port scan on your public IP with below to check for open ports (browse to Services --> ShieldsUP):

https://www.grc.com

Indeed, I had been running a version query as well as one similar to test.openresolver.com as posted by deHakkelaar in order to verify that a Pi-hole installation was accessible at the public IP address.
The curl confirmed that specific IP to belong to their router, and thus an open resolver.