11121111137 has 2 divisors, whose sum is σ = 11121111138. Its totient is φ = 11121111136.

The previous prime is 11121111121. The next prime is 11121111167. The reversal of 11121111137 is 73111112111.

It is a happy number.

11121111137 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., 10060892416 + 1060218721 = 100304^2 + 32561^2 .

It is a cyclic number.

It is not a de Polignac number, because 11121111137 - 2⁴ = 11121111121 is a prime.

It is a super-2 number, since 2×11121111137² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (11121111107) 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, 5560555568 + 5560555569.

It is an arithmetic number, because the mean of its divisors is an integer number (5560555569).

Almost surely, 2^11121111137 is an apocalyptic number.

It is an amenable number.

11121111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11121111137 is an equidigital number, since it uses as much as digits as its factorization.

11121111137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42, while the sum is 20.

Adding to 11121111137 its reverse (73111112111), we get a palindrome (84232223248).

The spelling of 11121111137 in words is "eleven billion, one hundred twenty-one million, one hundred eleven thousand, one hundred thirty-seven".