1103112113017 has 2 divisors, whose sum is σ = 1103112113018. Its totient is φ = 1103112113016.

The previous prime is 1103112112987. The next prime is 1103112113039. The reversal of 1103112113017 is 7103112113011.

It is an a-pointer prime, because the next prime (1103112113039) can be obtained adding 1103112113017 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 962682794896 + 140429318121 = 981164^2 + 374739^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1103112113017 is a prime.

It is not a weakly prime, because it can be changed into another prime (1103112113057) 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, 551556056508 + 551556056509.

It is an arithmetic number, because the mean of its divisors is an integer number (551556056509).

Almost surely, 2^{1103112113017} is an apocalyptic number.

It is an amenable number.

1103112113017 is a deficient number, since it is larger than the sum of its proper divisors (1).

1103112113017 is an equidigital number, since it uses as much as digits as its factorization.

1103112113017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 22.

Adding to 1103112113017 its reverse (7103112113011), we get a palindrome (8206224226028).

The spelling of 1103112113017 in words is "one trillion, one hundred three billion, one hundred twelve million, one hundred thirteen thousand, seventeen".