205101313 has 2 divisors, whose sum is σ = 205101314. Its totient is φ = 205101312.

The previous prime is 205101307. The next prime is 205101319. The reversal of 205101313 is 313101502.

It is a balanced prime because it is at equal distance from previous prime (205101307) and next prime (205101319).

It can be written as a sum of positive squares in only one way, i.e., 106853569 + 98247744 = 10337^2 + 9912^2 .

It is a cyclic number.

It is not a de Polignac number, because 205101313 - 2¹³ = 205093121 is a prime.

It is not a weakly prime, because it can be changed into another prime (205101319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 102550656 + 102550657.

It is an arithmetic number, because the mean of its divisors is an integer number (102550657).

Almost surely, 2^205101313 is an apocalyptic number.

It is an amenable number.

205101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

205101313 is an equidigital number, since it uses as much as digits as its factorization.

205101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 205101313 is about 14321.3586296831. The cubic root of 205101313 is about 589.7339727617.

Adding to 205101313 its reverse (313101502), we get a palindrome (518202815).

The spelling of 205101313 in words is "two hundred five million, one hundred one thousand, three hundred thirteen".