This name is a synonym of Parodia miguillensis Cárdenas.
The record derives from Tropicos
(data supplied on 2012-04-18)
which reports it as a synonym (record 50323538) with original publication details: Taxon 13: 117 1964.
Full publication details for this name can be found in IPNI: http://ipni.org/urn:lsid:ipni.org:names:183381-2.
This name was in version 1 of The Plant List, record tro-50323538, and has not been changed.