Science Quiz / Swiss Bank 2 Maths Logic Puzzle

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My new Swiss bank account number.

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I'd better change the number of my Swiss Bank account now that it's been publicised on Sporcle. My new number is easier to remember being only 13 digits and again it doesn't start with a zero. If I multiply it by 8 I get the same result as if I take the last digit and shift it to the front (so that for example 15387 would become 71538.) Can you work it out? There's a solution in "Source".
Score 0/5 Timer 20:00
--Digit(s)
1st Digit

--Digit(s)
Digits 2-4

--Digit(s)
Digits 5-7

--Digit(s)
Digits 8-10

--Digit(s)
Digits 11-13

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