Add a new page which doesn't appear in any menu

I want to add a new page to my site, but I don’t want it to appear in any menu. I want it to be a stand-alone page which visitors to my site won’t find unless I direct them to that specific page.

I thought I achieved that by setting it at “no parent” but doing that means that it still appears in my top menu.

Also, can I set this stand-alone page so that none of the search engines find it?

Thanks y’all!