there are actually a number of anti-microbial agents in the dish soap:

Ammonium Laureth Sulfate

Ammonium Lauryl Sulfate

Lauramidopropylamine Oxide <-----nitrate

Isodeceth-6 <-----alcohol

Sodium Chloride <----salt

Magnesium Sulfate    <-----magnesium is good 

Alcohol Denat

Methylisothiazolinone <----in mouthwash. biocide, cytotoxin, antifungal. safe for gums?

Benzisothiazolinone <----""

Methylchloroisothiazolinone <-----"" 

https://www.palmolive.com/en-us/ingredients

i found the following article, and i would presume the concentrations are much lower than this, but i sent an email to palmolive to ask:

https://journals.sagepub.com/doi/abs/10.3109/10915819209141993