201413313137 has 2 divisors, whose sum is σ = 201413313138. Its totient is φ = 201413313136.

The previous prime is 201413313089. The next prime is 201413313163. The reversal of 201413313137 is 731313314102.

It is a happy number.

201413313137 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., 173689731121 + 27723582016 = 416761^2 + 166504^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-201413313137 is a prime.

It is not a weakly prime, because it can be changed into another prime (201413313187) 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, 100706656568 + 100706656569.

It is an arithmetic number, because the mean of its divisors is an integer number (100706656569).

Almost surely, 2^201413313137 is an apocalyptic number.

It is an amenable number.

201413313137 is a deficient number, since it is larger than the sum of its proper divisors (1).

201413313137 is an equidigital number, since it uses as much as digits as its factorization.

201413313137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 201413313137 its reverse (731313314102), we get a palindrome (932726627239).

The spelling of 201413313137 in words is "two hundred one billion, four hundred thirteen million, three hundred thirteen thousand, one hundred thirty-seven".