105631335613 has 2 divisors, whose sum is σ = 105631335614. Its totient is φ = 105631335612.

The previous prime is 105631335569. The next prime is 105631335629. The reversal of 105631335613 is 316533136501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 84135963844 + 21495371769 = 290062^2 + 146613^2 .

It is a cyclic number.

It is not a de Polignac number, because 105631335613 - 2⁹ = 105631335101 is a prime.

It is a super-2 number, since 2×105631335613² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105631335683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52815667806 + 52815667807.

It is an arithmetic number, because the mean of its divisors is an integer number (52815667807).

Almost surely, 2^105631335613 is an apocalyptic number.

It is an amenable number.

105631335613 is a deficient number, since it is larger than the sum of its proper divisors (1).

105631335613 is an equidigital number, since it uses as much as digits as its factorization.

105631335613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72900, while the sum is 37.

The spelling of 105631335613 in words is "one hundred five billion, six hundred thirty-one million, three hundred thirty-five thousand, six hundred thirteen".