(13) Children of Belial.—The very same expression is used in Judges 20:13 : “Deliver us the men, the children of Belial, that are among you.” This is the first place where the expression “sons of Belial” occurs, and Judges 19:22 is the second. It is generally explained by modern scholars as “worthlessness.” Rashi curiously makes it “destroyers of the yoke” (of Jehovah).

Deuteronomy 13:13. Certain men, children of Belial — So the most profligate and worthless are called in Scripture. The expression properly signifies persons without yoke, lawless, and rebellious, that will suffer no restraint, that neither fear God nor reverence man. Are gone out from you — Have separated themselves from you in point of religion, and carry themselves stubbornly and presumptuously herein.

13:12-18 Here is the case of a city revolting from the God of Israel, and serving other gods. The crime is supposed to be committed by one of the cities of Israel. Even when they were ordered to preserve their religion by force, yet they were not allowed to bring others to it by fire and sword. Spiritual judgments under the Christian dispensation are more terrible than the execution of criminals; we have not less cause than the Israelites had, to fear the Divine wrath. Let us then fear the spiritual idolatry of covetousness, and the love of worldly pleasure; and be careful not to countenance them in our families, by our example or by the education of our children. May the Lord write his law and truth in our hearts, there set up his throne, and shed abroad his love!In Deuteronomy 15:9 and in Nahum 1:11 the word "Belial" is rendered in our translation by the adjective "wicked." The word means "worthlessness."

(from Barnes' Notes)

12-18. Certain men, the children of Belial—lawless, designing demagogues (Jud 19:22; 1Sa 1:16; 25:25), who abused their influence to withdraw the inhabitants of the city to idol-worship. The children of Belial; a title oft used in Scripture, as Judges 19:22 1 Samuel 1:16 25:25 2 Samuel 16:7. It signifies properly persons without yoke, vile and wretched miscreants, lawless and rebellious, that will suffer no restraint, that neither fear God nor reverence man.

From among you, i.e. from your church and religion. It notes a separation or departure from them, not in place, (as appears by their partnership with their fellow citizens both in the sin and punishment, as it here follows,) but in heart, doctrine, and worship, as the same phrase is used, 1Jo 2:19.

Certain men, the children of Belial,.... Which signify either persons without a yoke, who have thrown off the yoke of God's law, and will not submit to it, or unprofitable ones, as wicked men be, both to God, themselves, and others:

are gone out from among you; not locally, but with respect to their religious sentiments and practices, having separated themselves from the people of God, and from the service of the sanctuary, the true worship of God, and a profession of it, and given into the worship of idols:

and have withdrawn the inhabitants of their city; withdrawn them by the force of persuasion from the worship of the true God, and drawn them into idolatry:

saying, let us go and serve other gods; unite as one man in the worship of the gods of the Gentiles:

which ye have not known; this was not said by the children of Belial, but is added by the Lord by way of explanation, showing what gods they were that these men advised them to serve, and confirms the observation made on Deuteronomy 13:6.

Certain men, the children of Belial, are gone out from among you, and have withdrawn the inhabitants of their city, saying, Let us go and serve other gods, which ye have not known;