I say, and with God's success: It is not permissible for a menstruating woman to touch the Quran or to read it. The phone, after opening the Quran on it, becomes like a page of the Quran, so it is not permissible to touch it except with a cover that separates it. As for verbal recitation for a menstruating woman, it is prohibited, but it is permissible if done in the heart or with the eyes. And God knows best.