Ernestas Juska, 21, attacked the 39-year-old woman multiple times with a large kitchen knife while she was in bed at 6.40am on August 17 last year.
He was arrested later in the morning after approaching someone in Wordsworth Way and telling them to call police because he killed someone.
At the time, he told officers the victim was a family friend and had been staying overnight.
He said he killed her as he wanted to “lash out” and it was important she wasn’t someone close to him.
Juska explained that in the evening prior to the attack he had consumed alcohol and cocaine.
After she was killed, he sexually abused the body.
He was charged with murder and with committing a sexual offence against a deceased female.
Today (July 18), he pleaded guilty at Maidstone Crown Court and will be later sentenced on November 28.
Detective Sergeant Max Gregory said: “The depravity of Juska’s actions is almost indescribable.
“He inflicted horrific injuries to his defenceless victim and admitted he had no real motive for killing her other than wanting to harm someone who wasn’t related to him.
“During police interviews he spoke of the excitement he felt in the moments leading up to this barbaric murder.
“For Juska to then commit further heinous acts on the deceased woman is beyond comprehension.
“Juska’s crimes have ultimately led to the senseless loss of a beloved daughter and sister and our thoughts remain with her family.”