Don't confuse the concepts; a burglar-proof door simply adds a steel frame in the middle, making it more sturdy.
Fire doors are constructed with fire-resistant materials in the middle, primarily differing in the type of lock. Security doors feature a three-way bolt lock, offering soundproofing and double-sealing.
Fire doors feature fire-resistant locks, without upper and lower bolt latches; the center bolt is just a pin, and there is a single fire-sealing strip.
Additionally, fire and theft prevention; if you wish to distinguish, a simple method is to check if the door leaf's openings (doorbell hole, peephole, lock area) are filled with fire-resistant rock wool. It is a slightly yellow, cotton-like material that can be quite itchy to the touch. If filled, it indicates basic fire resistance. If the filling is something like kraft paper, it lacks fire resistance.