The strip of LEDs claims to emit "purple color". According to the common color chart,
the visible "purple color" corresponds to wavelength of about 400 nm.
[CLARIFICATION: In this particular case this seems to be an ordinary 365-nm InGaN LED. A phosphor-based LED would have a deep-UV driver, which are very expensive to make and their luminous efficiency is fairly low, and there is no sense to make them for household illumination purposes. As it is known, most light "conversion" occurs by Stokes shift into lower-frequencies, so for a 365-nm LED there could be no shorter wavelength in the emission spectrum than the main excitation line.]
On the other hand, there is an established model for sensitivity of live tissues to UV emissions, called "CIE action spectrum", which looks as this:
The interpretation of this chart is that any UV light longer than 320 nm is pretty harmless to living organisms and plants, while lights shorter than 300 nm have 1000X more effect and, with some intensity, would cause harm.
The "germicidal high-pressure Mercury lamps" have strong emission lines at 180 nm and 250 nm, and that's why they are petty harmful to skin and bacteria.
In short, the referenced purple light has 1/10,000 effect as compared to "true UV-B-C lights" that are used to kill bacteria in industrial water purification systems, so the strip is more like a toy. Of course, if you wire a thousand of these strips, there could be some trouble when human skin is in near proximity.