Kotori is from the Japanese 小鳥 (Kotori — little bird, small bird). Kotori is one of the Japanese feminine names — central to traditional Japanese heritage. The Japanese 小 (ko- small/little) prefix family is central to Japanese diminutive-affection-naming heritage kawaii (cute) aesthetic.
Kotori does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
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In Pythagorean numerology the letters of Kotori reduce to 7, The Seeker. This is a traditional interpretive system, not a factual claim about the name.