1. An image capturing apparatus comprising: an image capturing module; and a controller configured to control exposure of the image capturing module by dividing a captured image captured by the image capturing module into a plurality of image areas, weighting brightness of a predetermined pixel in each of the image areas, and being based on the weighted brightness of the predetermined pixel in each image area, wherein the controller performs a weighting correction process that increases weighting to the brightness of the predetermined pixel in each image area, when a size of the image area after a correction process in which distortion aberration of the captured image is corrected is larger than the size of the image area before the correction process, and the controller performs a weight correction process that decreases the weighting to the brightness of the predetermined pixel in each image area, when the size of the image area after the correction process is smaller than the size of the image area before the correction process.