11200113013 has 2 divisors, whose sum is σ = 11200113014. Its totient is φ = 11200113012.

The previous prime is 11200112981. The next prime is 11200113047. The reversal of 11200113013 is 31031100211.

11200113013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8976236049 + 2223876964 = 94743^2 + 47158^2 .

It is an emirp because it is prime and its reverse (31031100211) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 11200113013 - 2⁵ = 11200112981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11200112984 and 11200113002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11200113913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5600056506 + 5600056507.

It is an arithmetic number, because the mean of its divisors is an integer number (5600056507).

Almost surely, 2^11200113013 is an apocalyptic number.

It is an amenable number.

11200113013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11200113013 is an equidigital number, since it uses as much as digits as its factorization.

11200113013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11200113013 its reverse (31031100211), we get a palindrome (42231213224).

The spelling of 11200113013 in words is "eleven billion, two hundred million, one hundred thirteen thousand, thirteen".