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In this paper, we have numerically investigated the operating characteristics of a ka-band magnetron-type slotted peniotron. The third-harmonic four-vane peniotron operates in a circularly polarized 2π mode. The MAGIC3D simulation shows that, with proper acceleration voltage, beam current, and axis-encircling electron beam, the peniotron is predicted to generate a pure 2π-mode electromagnetic wave with output power of 45 kW at 29.7 GHz and conversion efficiency of up to 66.7%. Critical characteristics such as the start oscillation time, output power, and conversion efficiency have been also well examined; and it is shown that a careful control of the beam current and the acceleration voltage is important for the device performance.