Contradiction with Exodus 14:14
Numbers 14:13 involves Moses interceding for the people, while Exodus 14:14 emphasizes that the Lord will fight for the people without needing their intercession.
Exodus 14:14: The LORD shall fight for you, and ye shall hold your peace.
Contradiction with 1 Samuel 2:25
Numbers 14:13 mentions Moses speaking to God on Israel's behalf, while 1 Samuel 2:25 suggests that human intercession cannot always persuade God, especially when sin is against the Lord.
1 Samuel 2:25: If one man sin against another, the judge shall judge him: but if a man sin against the LORD, who shall intreat for him? Notwithstanding they hearkened not unto the voice of their father, because the LORD would slay them.
Contradiction with Jeremiah 7:16
Numbers 14:13 shows Moses' intercession is accepted, whereas Jeremiah 7:16 shows God rejecting intercession for the people due to their persistent sin.
Jeremiah 7:16: Therefore pray not thou for this people, neither lift up cry nor prayer for them, neither make intercession to me: for I will not hear thee.