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(Python)
from sympy import divisors
def ispal(n): s = str(n); return s == s[::-1]
def ok(n):
return not ispal(n) and n+1 == sum(int(str(d)[::-1]) for d in divisors(n))
print([m for m in range(10**4) if ok(m)]) # Michael S. Branicky, Jan 25 2021
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a(5) > 10^12. - Giovanni Resta, Aug 19 2019
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Palindromes are excluded because palindromic primes automatically have this property, and palindromic non-primes nonprimes never have it.
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