205101132313 has 64 divisors (see below), whose sum is σ = 276822614016. Its totient is φ = 147052800000.

The previous prime is 205101132293. The next prime is 205101132349. The reversal of 205101132313 is 313231101502.

It is a cyclic number.

It is not a de Polignac number, because 205101132313 - 2⁹ = 205101131801 is a prime.

It is a super-3 number, since 3×205101132313³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (205101133313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91114438 + ... + 91116688.

It is an arithmetic number, because the mean of its divisors is an integer number (4325353344).

Almost surely, 2^205101132313 is an apocalyptic number.

It is an amenable number.

205101132313 is a deficient number, since it is larger than the sum of its proper divisors (71721481703).

205101132313 is a wasteful number, since it uses less digits than its factorization.

205101132313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814.

The product of its (nonzero) digits is 540, while the sum is 22.

Adding to 205101132313 its reverse (313231101502), we get a palindrome (518332233815).

The spelling of 205101132313 in words is "two hundred five billion, one hundred one million, one hundred thirty-two thousand, three hundred thirteen".