The 613 commandments found in the Hebrew Bible were first enumerated in Moshe ben Maimon's work called the Mishneh Torah (Repetition of the Torah). Actually, these "commandments"—in Hebrew called מִצְווֹת (mitzvot)— describe 613 ways humanity can connect with the holiness of G-d. The Hebrew word mitzvot is related to the Aramaic word צוותא (tzavta) meaning "connection".
The G-d of Creation did not require some super-spiritual or religious way to approach Him. Instead, the G-d who made the entire universe took the simple and mundane things of life—waking up in the morning, the clothes we wear, the food we eat, and the daily interactions with other human beings—and enabled us to elevate them to matters of holiness and godliness so that we might connect with Him.