1311105113 has 2 divisors, whose sum is σ = 1311105114. Its totient is φ = 1311105112.

The previous prime is 1311105097. The next prime is 1311105137. The reversal of 1311105113 is 3115011131.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1311019264 + 85849 = 36208^2 + 293^2 .

It is a cyclic number.

It is not a de Polignac number, because 1311105113 - 2⁴ = 1311105097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1311105091 and 1311105100.

It is not a weakly prime, because it can be changed into another prime (1311105613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 655552556 + 655552557.

It is an arithmetic number, because the mean of its divisors is an integer number (655552557).

Almost surely, 2^1311105113 is an apocalyptic number.

It is an amenable number.

1311105113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1311105113 is an equidigital number, since it uses as much as digits as its factorization.

1311105113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45, while the sum is 17.

The square root of 1311105113 is about 36209.1854782733. The cubic root of 1311105113 is about 1094.4917786402.

Adding to 1311105113 its reverse (3115011131), we get a palindrome (4426116244).

The spelling of 1311105113 in words is "one billion, three hundred eleven million, one hundred five thousand, one hundred thirteen".