11131323200113 has 2 divisors, whose sum is σ = 11131323200114. Its totient is φ = 11131323200112.

The previous prime is 11131323200099. The next prime is 11131323200119. The reversal of 11131323200113 is 31100232313111.

11131323200113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9739567405584 + 1391755794529 = 3120828^2 + 1179727^2 .

It is a cyclic number.

It is not a de Polignac number, because 11131323200113 - 2¹³ = 11131323191921 is a prime.

It is not a weakly prime, because it can be changed into another prime (11131323200119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5565661600056 + 5565661600057.

It is an arithmetic number, because the mean of its divisors is an integer number (5565661600057).

Almost surely, 2^{11131323200113} is an apocalyptic number.

It is an amenable number.

11131323200113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11131323200113 is an equidigital number, since it uses as much as digits as its factorization.

11131323200113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 11131323200113 its reverse (31100232313111), we get a palindrome (42231555513224).

The spelling of 11131323200113 in words is "eleven trillion, one hundred thirty-one billion, three hundred twenty-three million, two hundred thousand, one hundred thirteen".