No, Goten is the son of Goku and Chichi, whereas Trunks is the son of Vegeta and Bulma.
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Trunks power level is never said but trunks is probably the fourth or fifth strongest of the Z fighters. After Goku, Vegeta, Gohan, and maybe Goten.
Goku defeated him the first time after absorbing the power of Gohan, Future Trunks, Piccolo and Vegeta. He somehow survived and then attacked goten and Goten, Gohan and Goku defeated him with 3 simultaneous kamehamehas Then some weird clone of Brolly was made and Krillen, Goten and Kid Trunks killed him with 3 simultaneous kamehamehas.
I believe it was 241. Empty Planet They're sooo cute :)
In strength it would be Trunks because he is older than Goten but at near Buu saga and at the 25th Tenkaichi Budokai they had an equal strength also in smartness Trunks also has the advantage but in popularity in the real world Goten is more preferred than Trunks
Bulma is pregnant with Trunks before the Cell saga in DBZ. We never see her pregnant.