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As others have stated, that's obviously not SQLite (as in the Engine), but some GUI or Admin app for it.

I have the distinct feeling that SQLiteSpeed might be the culprit (though I'm not sure which tutorial that may be), and if it is the case, please note that:

- When creating a new table, from some menu-options, you are allowed to "Model" (Template) it on the currently selected table, hence the "editing an existing table" feeling, but
 + At the left top, in the table editor, under the table-name, there is a drop-down selector to choose to model a different table,
 + There are several ways of arriving at the Editor without a Modeled table (I won't go into detail because this post is already far outside this Forum's content - help is available from inside the app).
- Even if the Table is completely new and no Template is selected, there might be 1 suggested PK column present. That's merely so you do not stare at an empty designer, helpful for new folks, but can be safely changed/removed.

If the App in question is something else - I suppose it will have some similar options.

Please see where is the correct place to send questions regarding the app you are using (if SQLiteSpeed, it's right in the Help menu).  
SQLite itself is a Database engine and not an app - i.e. it has no GUI, or put another way - if you can "click" anything, you are NOT using SQLite directly.