Should I really be allowing my husband to be friends with the women he's cheated with?

Me and my husband just got married about 12 days ago, after being together for 13 years. During the 13 years he cheated on me with alot of women, more woman than I can count. He told me he was ready to give that life up and marry me. But he feels that he should be able to remain friends with the women he's cheated on me with and feels that I am being unreasonable for not wanting him to keep these woman in his life. We have only been married a few days and he has already been calling and texting two of them and even went to see one of them, saying he just went to see her because his phone was broke and she had one he could borrow. He's says that there is nothing else between them and I should trust that he has taken is vows seriously. But I feel that if has taken them so seriously then what does he need to continue on a "friendship" with the other woman, I should be all he needs at this point. Am I wrong for felling like this or is asking him to let go of these women truly unreasonable?