What does status nātūrae mean in Latin?

status nātūrae, a noun, means “state of nature”.

What is the genitive of status nātūrae?

The genitive singular is statūs nātūrae. status nātūrae is neuter, fourth declension.

noun · neuterfourth declension

status nātūrae m sg (genitive statūs nātūrae)

New Latinstate of nature
Quid autem aliud sunt plures respublicæ, quam totidem castra præsidiis & armis contra se invicem munita; quorum status […] pro statu naturali, hoc est, pro statu belli habendus est?For what else are many commonwealths than so many camps fortified against one another with guards and arms, the state of which […] is to be taken as the state of nature, that is, the state of war?1647, Thomas Hobbes, Elementa Philosophica de Cive, 2nd edition, pages 179–80:
Certe status civilis praefert bonum commune particulari, quod solum respicitur in statu naturae; aptior est naturae humanae prae statu naturali; perfectior est statu naturae.The civil state certainly prefers the common good to the particular, which alone is respected in the state of nature; it is more fitted to human nature than the state of nature, and more perfect than the state of nature.1845, Dionisio Piccirilli, Philosophiae Universae Institutiones […] , volume 3, page 229: