1133113200113 has 2 divisors, whose sum is σ = 1133113200114. Its totient is φ = 1133113200112.

The previous prime is 1133113200047. The next prime is 1133113200173. The reversal of 1133113200113 is 3110023113311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1070328877489 + 62784322624 = 1034567^2 + 250568^2 .

It is a cyclic number.

It is not a de Polignac number, because 1133113200113 - 2³⁸ = 858235293169 is a prime.

It is not a weakly prime, because it can be changed into another prime (1133113200173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 566556600056 + 566556600057.

It is an arithmetic number, because the mean of its divisors is an integer number (566556600057).

Almost surely, 2^{1133113200113} is an apocalyptic number.

It is an amenable number.

1133113200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1133113200113 is an equidigital number, since it uses as much as digits as its factorization.

1133113200113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1133113200113 its reverse (3110023113311), we get a palindrome (4243136313424).

The spelling of 1133113200113 in words is "one trillion, one hundred thirty-three billion, one hundred thirteen million, two hundred thousand, one hundred thirteen".