11331123300113 has 2 divisors, whose sum is σ = 11331123300114. Its totient is φ = 11331123300112.

The previous prime is 11331123300073. The next prime is 11331123300143. The reversal of 11331123300113 is 31100332113311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9339276576529 + 1991846723584 = 3056023^2 + 1411328^2 .

It is a cyclic number.

It is not a de Polignac number, because 11331123300113 - 2²⁶ = 11331056191249 is a prime.

It is not a weakly prime, because it can be changed into another prime (11331123300143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5665561650056 + 5665561650057.

It is an arithmetic number, because the mean of its divisors is an integer number (5665561650057).

Almost surely, 2^{11331123300113} is an apocalyptic number.

It is an amenable number.

11331123300113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11331123300113 is an equidigital number, since it uses as much as digits as its factorization.

11331123300113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 11331123300113 its reverse (31100332113311), we get a palindrome (42431455413424).

The spelling of 11331123300113 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-three million, three hundred thousand, one hundred thirteen".