illiterate Prophet can not bring the Qur'an by itself
Qur'an emphasizes on prophet (SAWA)is illiterate person
هُوَ الَّذِي بَعَثَ فِي الْأُمِّيِّينَ رَسُولًا مِّنْهُمْ يَتْلُو عَلَيْهِمْ آيَاتِهِ وَيُزَكِّيهِمْ وَيُعَلِّمُهُمُ الْكِتَابَ وَالْحِكْمَةَ وَإِن كَانُوا مِن قَبْلُ لَفِي ضَلَالٍ مُّبِينٍا62.2))
"It is He who raised among the gentiles an apostle from amongst them, who recites His revelations to them, reforms them and teaches them the Scripture and the Law, for before him they were clearly in error."
Holy Qur'an is miracle as some aspects such as eloquently, guidance, scientific problems , foresight of future events and so on. One aspect of miracle of Qur'an is personality of holy prophet he never studied in school and could not read and write but have brought a book which is full of wonderful things that is impossible ordinary people brings some things like verses of holy Qur'an .There fore Qur'an mentions if you have any doubt about reality of Qur'an bring a verses like Qur'an from a person like prophet .
وَإِن كُنتُمْ فِي رَيْبٍ مِّمَّا نَزَّلْنَا عَلَىٰ عَبْدِنَا فَأْتُوا بِسُورَةٍ مِّن مِّثْلِهِ وَادْعُوا شُهَدَاءَكُم مِّن دُونِ اللَّـهِ إِن كُنتُمْ صَادِقِينَ(2.23)
"And if you are in doubt concerning what We have sent down to Our servant, then bring a surah like it, and invoke your helpers besides Allah, if you are truthful."
Note:"like it" refers to holy Qur'an and prophet .
for more info Qur'an in light of Qur'an ,v1, p157,Abdoallah Javadi Amoli,