responsibleness has 1 distinct synonym spread across 1 of its 1 sense. Each sense below keeps its own list, because a synonym belongs to a meaning and not to a word: swapping one sense's substitute into another sense's sentence is how a thesaurus makes writing worse. Its one recorded opposite is irresponsibleness.
Counts are distinct word forms across every sense. A synonym that appears under three senses is counted once here and shown three times below, under each sense it belongs to.
a form of trustworthiness; the trait of being answerable to someone for something or being responsible for one's conduct
“he holds a position of great responsibility”
Synonyms, antonyms and the broader and narrower relations for responsibleness come from Princeton University’s WordNet. Full sources and licences.