105513113 has 2 divisors, whose sum is σ = 105513114. Its totient is φ = 105513112.

The previous prime is 105513091. The next prime is 105513127. The reversal of 105513113 is 311315501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88604569 + 16908544 = 9413^2 + 4112^2 .

It is a cyclic number.

It is not a de Polignac number, because 105513113 - 2⁸ = 105512857 is a prime.

It is a super-2 number, since 2×105513113² = 22266034029901538, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105513193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52756556 + 52756557.

It is an arithmetic number, because the mean of its divisors is an integer number (52756557).

Almost surely, 2^105513113 is an apocalyptic number.

It is an amenable number.

105513113 is a deficient number, since it is larger than the sum of its proper divisors (1).

105513113 is an equidigital number, since it uses as much as digits as its factorization.

105513113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 105513113 is about 10271.9576031057. The cubic root of 105513113 is about 472.5366290203.

Adding to 105513113 its reverse (311315501), we get a palindrome (416828614).

The spelling of 105513113 in words is "one hundred five million, five hundred thirteen thousand, one hundred thirteen".