Lorde's debut studio album Pure Heroine containing the single "Royals" was released in September 2013 to critical acclaim; it appeared on several year-end album lists. The album received considerable attention for its portrayal of suburban teenage disillusionment and critiques of mainstream culture. In the United States, the album exceeded sales of one million copies in February 2014, becoming the first debut album by a female artist since Adele's 2008 album 19 to achieve the feat. Pure Heroine earned a Grammy nomination for Best Pop Vocal Album, and has sold four million copies worldwide as of May 2017. Three other singles were released from the album: "Tennis Court" reached number one in New Zealand, while "Team" charted at number six in the United States, and "Glory and Gore" was released exclusively to US radio.
In November 2013, Lorde signed a publishing deal with Songs Music Publishing, worth a reported US$2.5 million, after a bidding war between companies including Sony Music Entertainment and her label UMG. The agreement gave the publisher the right to license Lorde's music for films and advertising. Later that month, Lorde was featured on the soundtrack for the 2013 film The Hunger Games: Catching Fire, performing a cover of Tears for Fears' 1985 song "Everybody Wants to Rule the World". Time included her on their lists of the most influential teenagers in the world in 2013 and 2014. Forbes also placed her on their 2014 edition of 30 Under 30; she was the youngest individual to be featured. Billboard featured her on their 21 Under 21 list in 2013, 2014, and 2015.
Critical reception of Lorde is generally positive, praise concentrated on her maturity both musically and lyrically. The New York Times called her "the pop prodigy" who was not conformed to boundaries and always sought experimentation. Billboard recognised Lorde as a spokesperson for a "female rock resurgence" by introducing her works to rock and alternative radio, which had seen a traditional male dominance. The publication also named her the "New Queen of Alternative" in a 2013 cover story. Journalist Robert Christgau was less enthusiastic towards Lorde's styles, labelling the singer as "a pop property" that was indistinguishable from other mainstream artists.
From late 2013 to early 2016, Lorde was in a relationship with New Zealand photographer James Lowe. In January 2016, she relocated from Devonport to Herne Bay, an affluent suburb in Auckland, where she purchased a NZ$2.84 million house. She holds dual New Zealand and Croatian citizenship.
Lorde has been involved in several philanthropic causes. "The Love Club" was included in the 2013 charity album Songs for the Philippines to support the people in the Philippines who suffered from Typhoon Haiyan. In 2015, Lorde recorded "Team Ball Player Thing", a charity single, as part of the supergroup Kiwis Cure Batten. All sales from the song went towards research for the cure of Batten disease, a fatal neurodegenerative disorder. Later that year, the singer was featured in the compilation album The Art of Peace: Songs for Tibet II to raise funds for the preservation of the Tibetan culture. The following year, Lorde made a NZ$20,000 donation to Fuel the Need, a New Zealand charity that provides lunches for underprivileged schoolchildren. In 2018, she donated NZ$5,000 to Starship Hospital to fund the purchase of "five new portable neurology monitors." Lorde became a patron of MusicHelps, formerly the New Zealand Music Foundation, a musical charity helping New Zealanders who are vulnerable to or experiencing serious health issues, in November 2018.