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Scarlett Johansson tells Politico.com she has swapped friendly e-mails with the Democratic presidential hopeful Barack Obama for months. Johansson, star of such big-screen hits as “Lost in Translation” and “The Nanny Diaries,” has campaigned tirelessly for Obama and did a turn in his celebrity-packed “Yes We Can” Internet music video.

“My heart belongs to Barack,” she gushed to an Associated Press reporter in January. “I am engaged to Barack Obama,” she joked.

The sultry actress is amazed that Barack Obama has time to return her personal and adoring e-mails with ‘thoughtful’ and more than a brief line or two messages despite his busy schedule. But he does, often, with fan messages of his own to the 23-year-old film star.

“You’d imagine that someone like the senator who is constantly traveling and constantly ‘on’ - how can he return these personal e-mails?” she told the Politico Web site. “But he does, and in his off-time I know he also calls people who have donated the minimum to thank them.”

After a particularly tough debate earlier this year, she congratulated him for “holding his ground” in one e-mail. He responded that the questioning was “difficult” and he was being pounded on “one silly question after another.”

“I feel like I’m supporting someone, and having a personal dialogue with them, and it’s amazing,” added Johansson.

Obama told Johansson his favorite performance was her role in “Lost in Translation.”

He’s a “huge movie lover” and “knows who every actor is,” she told Politico.

Johansson plans to keep working for him, including appearances at private fund-raisers.