13105663 has 2 divisors, whose sum is σ = 13105664. Its totient is φ = 13105662.

The previous prime is 13105643. The next prime is 13105679. The reversal of 13105663 is 36650131.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 13105663 - 2²¹ = 11008511 is a prime.

It is a zygodrome in base 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13105613) 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, 6552831 + 6552832.

It is an arithmetic number, because the mean of its divisors is an integer number (6552832).

Almost surely, 2^13105663 is an apocalyptic number.

13105663 is a deficient number, since it is larger than the sum of its proper divisors (1).

13105663 is an equidigital number, since it uses as much as digits as its factorization.

13105663 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1620, while the sum is 25.

The square root of 13105663 is about 3620.1744433107. The cubic root of 13105663 is about 235.7687994778.

Adding to 13105663 its reverse (36650131), we get a palindrome (49755794).

It can be divided in two parts, 131056 and 63, that multiplied together give a palindrome (8256528).

The spelling of 13105663 in words is "thirteen million, one hundred five thousand, six hundred sixty-three".