201200133113137 has 2 divisors, whose sum is σ = 201200133113138. Its totient is φ = 201200133113136.

The previous prime is 201200133113039. The next prime is 201200133113149. The reversal of 201200133113137 is 731311331002102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 148340122814016 + 52860010299121 = 12179496^2 + 7270489^2 .

It is a cyclic number.

It is not a de Polignac number, because 201200133113137 - 2³⁹ = 200650377299249 is a prime.

It is not a weakly prime, because it can be changed into another prime (201200133119137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100600066556568 + 100600066556569.

It is an arithmetic number, because the mean of its divisors is an integer number (100600066556569).

Almost surely, 2^{201200133113137} is an apocalyptic number.

It is an amenable number.

201200133113137 is a deficient number, since it is larger than the sum of its proper divisors (1).

201200133113137 is an equidigital number, since it uses as much as digits as its factorization.

201200133113137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2268, while the sum is 28.

Adding to 201200133113137 its reverse (731311331002102), we get a palindrome (932511464115239).

The spelling of 201200133113137 in words is "two hundred one trillion, two hundred billion, one hundred thirty-three million, one hundred thirteen thousand, one hundred thirty-seven".