Commandments - 10 and 613- The Talmud notes that the Hebrew numerical value (gematria) of the word Torah is 611, and combining Moses's 611 commandments with the first two of the Ten Commandments which were the only ones heard directly from God, adds up to 613.
Maimonides 13 Principles- While discussing the claim that all Israel has a share in the world to come, Maimonides lists 13 principles that he considers binding on every Jew: the existence of God, the absolute unity of God, the incorporeality of God, the eternity of God, that God alone is to be worshipped, that God communicates to prophets, that Moses is the greatest prophet, that the Torah was given by God, that the Torah is immutable, that there is divine providence, that there is divine punishment and reward, that there will be a Messiah, that the dead will be resurrected.
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