The information display part displays screen information for notifying the user that the electronic mail has been received when the portable terminal device has received the electronic mail while first screen information is displayed, in addition to the first screen information or instead of the first screen information, and continues to display second screen information when the portable terminal device has received the electronic mail while the second screen information is displayed, without displaying the screen information for notifying the user that the electronic mail has been received, and displays the screen information for notifying the user that electronic mail has been received after display of the second screen information is finished.