Contradiction with Proverbs 3:5
This verse advises trusting in the Lord with all one's heart and not relying on one's understanding, which could be seen as contradicting with constantly learning commandments as in Deuteronomy 31:13.
Proverbs 3:5: Trust in the LORD with all thine heart; and lean not unto thine own understanding.
Contradiction with Romans 2:14-15
Here it talks about Gentiles who do not have the law yet do instinctively what the law requires, which might contradict the need for constant learning and hearing of the law as mentioned in Deuteronomy 31:13.
Romans 2:14-15: For when the Gentiles, which have not the law, do by nature the things contained in the law, these, having not the law, are a law unto themselves:
Contradiction with Hebrews 8:10
This verse declares that God will put laws into minds and write them on hearts, contrasting with the idea of continually teaching them as mentioned in Deuteronomy 31:13.
Hebrews 8:10: For this [is] the covenant that I will make with the house of Israel after those days, saith the Lord; I will put my laws into their mind, and write them in their hearts: and I will be to them a God, and they shall be to me a people: [put: Gr. give] [in: or, upon]
Contradiction with Jeremiah 31:33-34
It promises a new covenant where there would be no need to teach each other to know the Lord, appearing to contradict the need for lifelong learning as in Deuteronomy 31:13.
Jeremiah 31:33-34: But this [shall be] the covenant that I will make with the house of Israel; After those days, saith the LORD, I will put my law in their inward parts, and write it in their hearts; and will be their God, and they shall be my people.