11201112231137 has 2 divisors, whose sum is σ = 11201112231138. Its totient is φ = 11201112231136.

The previous prime is 11201112231119. The next prime is 11201112231143. The reversal of 11201112231137 is 73113221110211.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11060253884416 + 140858346721 = 3325696^2 + 375311^2 .

It is a cyclic number.

It is not a de Polignac number, because 11201112231137 - 2²⁸ = 11200843795681 is a prime.

It is a super-2 number, since 2×11201112231137² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11201112231637) 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, 5600556115568 + 5600556115569.

It is an arithmetic number, because the mean of its divisors is an integer number (5600556115569).

Almost surely, 2^{11201112231137} is an apocalyptic number.

It is an amenable number.

11201112231137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11201112231137 is an equidigital number, since it uses as much as digits as its factorization.

11201112231137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 26.

Adding to 11201112231137 its reverse (73113221110211), we get a palindrome (84314333341348).

The spelling of 11201112231137 in words is "eleven trillion, two hundred one billion, one hundred twelve million, two hundred thirty-one thousand, one hundred thirty-seven".