The trdoocol or 13-noogol is equal to s(10,13) using strong array notation, or 1013 = 10,000,000,000,000.[1] The term was coined by Aarex Tiaokhiao.

This number is known as a neel in the Indian counting system.[2][citation needed]

As a banknote denomination

Some currencies, such as the German Papiermark, the Hungarian pengő and the third Zimbabwean dollar, had banknotes with this number in the denomination.

Approximations

Notation Lower bound Upper bound
Scientific notation \(1\times10^{13}\)
Arrow notation \(10\uparrow13\)
Steinhaus-Moser Notation 12[3] 13[3]
Copy notation 9[13] 10[7]
Taro's multivariable Ackermann function A(3,40) A(3,41)
Pound-Star Notation #*(3,1,5)*4 #*(4,1,5)*4
BEAF {10,13}
Hyper-E notation E13
Bashicu matrix system (0)(0)[1778] (0)(0)[1779]
Hyperfactorial array notation 3![1] 16!
Fast-growing hierarchy \(f_2(37)\) \(f_2(38)\)
Hardy hierarchy \(H_{\omega^2}(37)\) \(H_{\omega^2}(38)\)
Slow-growing hierarchy \(g_{\omega^{\omega+3}}(10)\)

Sources

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