| 5581 | January 13 | Birth | 1804 – Paul Gavarni, French illustrator (d. 1866) |
| 5582 | January 13 | Birth | 1805 – Thomas Dyer, American politician, 18th Mayor of Chicago (d. 1862) |
| 5583 | January 13 | Birth | 1808 – Salmon P. Chase, American jurist and politician, 6th Chief Justice of the United States (d. 1873) |
| 5584 | January 13 | Birth | 1812 – Victor de Laprade, French poet and critic (d. 1883) |
| 5585 | January 13 | Birth | 1832 – Horatio Alger, Jr., American journalist and author (d. 1899) |
| 5586 | January 13 | Birth | 1845 – Félix Tisserand, French astronomer and academic (d. 1896) |
| 5587 | January 13 | Birth | 1857 – Anastasios Papoulas, Greek general (d. 1935) |
| 5588 | January 13 | Birth | 1858 – Oskar Minkowski, Lithuanian-German biologist and academic (d. 1931) |
| 5589 | January 13 | Birth | 1859 – Kostis Palamas, Greek poet and playwright (d. 1943) |
| 5590 | January 13 | Birth | 1861 – Max Nonne, German neurologist and academic (d. 1959) |
| 5591 | January 13 | Birth | 1864 – Wilhelm Wien, German physicist and academic, Nobel Prize laureate (d. 1928) |
| 5592 | January 13 | Birth | 1865 – Princess Marie of Orléans (d. 1908) |
| 5593 | January 13 | Birth | 1866 – Vasily Kalinnikov, Russian bassoon player and composer (d. 1901) |
| 5594 | January 13 | Birth | 1869 – Prince Emanuele Filiberto, Duke of Aosta (d. 1931) |
| 5595 | January 13 | Birth | 1870 – Ross Granville Harrison, American biologist and anatomist (d. 1959) |
| 5596 | January 13 | Birth | 1872 – Vlasios Tsirogiannis, Greek general (d. 1928) |
| 5597 | January 13 | Birth | 1878 – Lionel Groulx, Canadian priest and historian (d. 1967) |
| 5598 | January 13 | Birth | 1878 – Geert Lotsij, Dutch rower (d. 1959) |
| 5599 | January 13 | Birth | 1881 – Essington Lewis, Australian engineer and businessman (d. 1961) |
| 5600 | January 13 | Birth | 1883 – Prince Arthur of Connaught (d. 1938) |
| 5601 | January 13 | Birth | 1883 – Nathaniel Cartmell, American runner and coach (d. 1967) |
| 5602 | January 13 | Birth | 1884 – Sophie Tucker, Ukrainian-American singer and actress (d. 1966) |
| 5603 | January 13 | Birth | 1885 – Alfred Fuller, Canadian-American businessman, founded the Fuller Brush Company (d. 1973) |
| 5604 | January 13 | Birth | 1886 – Art Ross, Canadian-American ice hockey player and coach (d. 1964) |
| 5605 | January 13 | Birth | 1887 – Gabriel Gabrio, French actor (d. 1946) |
| 5606 | January 13 | Birth | 1887 – George Gurdjieff, Russian-French mystic and philosopher (d. 1949) |
| 5607 | January 13 | Birth | 1890 – Jüri Uluots, Estonian journalist, lawyer, and politician, 7th Prime Minister of Estonia (d. 1945) |
| 5608 | January 13 | Birth | 1892 – Ermanno Aebi, Italian-Swiss footballer (d. 1976) |
| 5609 | January 13 | Birth | 1893 – Charles Arnison, English airman (d. 1974) |
| 5610 | January 13 | Birth | 1893 – Roy Cazaly, Australian footballer and coach (d. 1963) |