133112200105009 has 2 divisors, whose sum is σ = 133112200105010. Its totient is φ = 133112200105008.

The previous prime is 133112200104959. The next prime is 133112200105043. The reversal of 133112200105009 is 900501002211331.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 132727173649984 + 385026455025 = 11520728^2 + 620505^2 .

It is a cyclic number.

It is not a de Polignac number, because 133112200105009 - 2⁷ = 133112200104881 is a prime.

It is not a weakly prime, because it can be changed into another prime (133112200106009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 66556100052504 + 66556100052505.

It is an arithmetic number, because the mean of its divisors is an integer number (66556100052505).

Almost surely, 2^{133112200105009} is an apocalyptic number.

It is an amenable number.

133112200105009 is a deficient number, since it is larger than the sum of its proper divisors (1).

133112200105009 is an equidigital number, since it uses as much as digits as its factorization.

133112200105009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 28.

The spelling of 133112200105009 in words is "one hundred thirty-three trillion, one hundred twelve billion, two hundred million, one hundred five thousand, nine".