200201013137 has 2 divisors, whose sum is σ = 200201013138. Its totient is φ = 200201013136.

The previous prime is 200201013127. The next prime is 200201013139. The reversal of 200201013137 is 731310102002.

200201013137 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 157076676241 + 43124336896 = 396329^2 + 207664^2 .

It is a cyclic number.

It is not a de Polignac number, because 200201013137 - 2⁸ = 200201012881 is a prime.

It is a super-2 number, since 2×200201013137² (a number of 23 digits) contains 22 as substring.

Together with 200201013139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (200201013139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 100100506568 + 100100506569.

It is an arithmetic number, because the mean of its divisors is an integer number (100100506569).

Almost surely, 2^200201013137 is an apocalyptic number.

It is an amenable number.

200201013137 is a deficient number, since it is larger than the sum of its proper divisors (1).

200201013137 is an equidigital number, since it uses as much as digits as its factorization.

200201013137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 20.

Adding to 200201013137 its reverse (731310102002), we get a palindrome (931511115139).

The spelling of 200201013137 in words is "two hundred billion, two hundred one million, thirteen thousand, one hundred thirty-seven".