I like planets!

if n + s = s then n = 0 ; r + u = t + ? with ? = 0 or ? = 10 ; if u + n = e then ? = 10 because n = 0 ; r + u = 10 + t ; u + 1 = e ; t + a = 10 ; if a + r + 1 = 10 + a then r = 9 ; s + u + 1 = l + 10 ; s + u = l + 9 ; p = 1.;

r + u = 10 + t and r = 9 then u = 1 + t ;

t + 1 = u ; u + 1 = e ; t + a = 10 ; s + u = l + 9 ; n = 0 ; p = 1 ; r = 9 ;

t, u and e are 3 consecutive numbers, t =/= 5 otherwise t = a ; t can be 2, 3, 4 or 6 ;

Trial and error:

if t = 2, u = 3, e = 4, a = 8 ; s = l + 6, possible values for l are 5, 6 or 7 but then s would be greater than 10 so t =/= 2 ;

if t = 3, u = 4, e = 5, a =7 ; s = l + 5, values for l are 2, 6, 8, for 6 and 8 s would be greater than 10, for l = 2 s = a then t =/= 3 ;

if t = 4, u = 5, e = 6, a = 6, e = a then t =/= 4 ;

last trial is t = 6: t = 6, u = 7, e = 8, a = 4 s = l + 2, values for l are 2, 3 and 5, l =/= 2 otherwise s = a, l =/= 5 otherwise s = u then l = 3 and s = 5.

Answer: n = 0 p = 1 r = 9 t = 6 u = 7 e = 8 a = 4 l = 3 s = 5

The sum is trivial.

$from$ $itertools$ $import$ $permutations$ $for$ $i$ $in$ $permutations('0123456789'):$ \(str $=$ '' $.join(i)$ ) [S,A,T,U,R,N,P,L,E,ANYNUMBER]\(= $list(str)$ ) $if int(S+A+T+U+R+N)+int(U+R+A+N+U+S)==int(P+L+A+N+E+T+S):$ $print (int(S+A+T+U+R+N)+int(U+R+A+N+U+S)+int(P+L+A+N+E+T+S))$