I remember hearing that Ben Franklin had, what would be called in our civilized days of modern technology, a serious zipper problem. It’s been a while and with all them conservative dick weeds fulminating about our loss of morals as opposed to the sacred forefathers of our country I was trying to find out if this is true or just some liberal exaggeration from the backward '70’s. Anyone here able to point me in the right direction? The internet has been of surprisingly little help. 
Ben Franklin had only one child - an illegitimate son - though no one knows for sure, it seems the mother was a prostitute. He and his wife raised the child. Franklin had a very distant relationship with his wife, who, because she was afraid of ship travel, never accompanied him on his many journeys. He was VERY popular with women, especially while he was a diplomatic emissary in France (he was then in his 70s) but I don’t think any scholars believe he was a real Don Juan. He did like and admire women, though. He wrote a very interesting letter to a young man of his acquaintance, on the virtues of taking an older woman as his mistress - the young man did not take his advice. Franklin and his son were eventually totally estranged when his son became a governor for the Crown. He was very cold about it and never spoke to him again.
I don’t know where you got your information, violet9. Benjamin Franklin and his wife, Deborah Read, had a son, Francis, who died at four years of age; and a daughter, Sarah, who survived them both.
His other son, William (1731 - 1813), was born out of wedlock, and his mother’s identity was never revealed. Of him, Franklin wrote in his will:
To my son, William Franklin, late Governor of the Jerseys, I give and devise all the lands I hold or have a right to, in the province of Nova Scotia, to hold to him, his heirs, and assigns forever. I also give to him all my books and papers, which he has in his possession, and all debts standing against him on my account books, willing that no payment for, nor restitution of, the same be required of him, by my executors. The part he acted against me in the late war, which is of public notoriety, will account for my leaving him no more of an estate he endeavoured to deprive me of.
I stand corrected on the number of Franklin’s children. My information comes from a C-span interview with James Srodes on his book entitled "Franklin - The Essential Founding Father. The entire interview video can be seen on their website. Regardless of what he wrote in his will, according to Srodes, William attempted to reconcile with his father toward the end of his life, but he was soundly rebuked.
Here is his entire will. It’s quite interesting.
The Last Will and Testament of Benjamin Franklin
Here is his autobiography.