11201121202013 has 2 divisors, whose sum is σ = 11201121202014. Its totient is φ = 11201121202012.

The previous prime is 11201121202009. The next prime is 11201121202027. The reversal of 11201121202013 is 31020212110211.

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., 11039816954884 + 161304247129 = 3322622^2 + 401627^2 .

It is a cyclic number.

It is not a de Polignac number, because 11201121202013 - 2² = 11201121202009 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11201121201982 and 11201121202000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (11201121202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5600560601006 + 5600560601007.

It is an arithmetic number, because the mean of its divisors is an integer number (5600560601007).

Almost surely, 2^{11201121202013} is an apocalyptic number.

It is an amenable number.

11201121202013 is a deficient number, since it is larger than the sum of its proper divisors (1).

11201121202013 is an equidigital number, since it uses as much as digits as its factorization.

11201121202013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 11201121202013 its reverse (31020212110211), we get a palindrome (42221333312224).

The spelling of 11201121202013 in words is "eleven trillion, two hundred one billion, one hundred twenty-one million, two hundred two thousand, thirteen".