A hundred and thirteen is prime and reduces to five. It is among the primes past the hundred that the symbolic traditions did not take up, and it carries no significant religious content. What can be said of it is structural only.
A hundred and thirteen is prime, with no factors beyond one and itself. Because it leaves a remainder of one when divided by four, it is a Pythagorean prime, expressible as a sum of two squares: 7 squared plus 8 squared. It further qualifies as a Sophie Germain prime, since doubling it and adding one also yields a prime, properties recreational number theory tracks but that carry no symbolic weight of their own.
None of this genealogy is hidden by the numerologists themselves: Balliett, Campbell and Jordan each wrote openly as originators and systematisers rather than as transmitters of a secret ancient science, and the chain from Balliett's 1908 book through Campbell's 1931 manual to Jordan's 1965 standardisation is well documented in the numerology literature's own bibliographies.
Where the Chaldean chart and the Balliett-descended chart assign different values to the same letters, a name totalling one figure in one system need not total the same figure in the other, since the two rest on unrelated letter-value tables rather than on a shared inheritance from any single ancient source.