  The universal $R$-matrix for a class of esoteric (non-standard) quantum
groups ${\cal U}_q(gl(2N+1))$ is constructed as a twisting of the universal
$R$-matrix ${\cal R}_S$ of the Drinfeld-Jimbo quantum algebras. The main part
of the twisting element ${\cal F}$ is chosen to be the canonical element of
appropriate pair of separated Hopf subalgebras (quantized Borel's ${\cal B}(N)
\subset {\cal U}_q(gl(2N+1))$), providing the factorization property of ${\cal
F}$. As a result, the esoteric quantum group generators can be expressed in
terms of the Drinfeld-Jimbo ones.
