111101111137 has 2 divisors, whose sum is σ = 111101111138. Its totient is φ = 111101111136.

The previous prime is 111101111123. The next prime is 111101111161. The reversal of 111101111137 is 731111101111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 107988475456 + 3112635681 = 328616^2 + 55791^2 .

It is an emirp because it is prime and its reverse (731111101111) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 111101111137 - 2¹⁵ = 111101078369 is a prime.

It is not a weakly prime, because it can be changed into another prime (111101112137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55550555568 + 55550555569.

It is an arithmetic number, because the mean of its divisors is an integer number (55550555569).

Almost surely, 2^111101111137 is an apocalyptic number.

It is an amenable number.

111101111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111101111137 is an equidigital number, since it uses as much as digits as its factorization.

111101111137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21, while the sum is 19.

Adding to 111101111137 its reverse (731111101111), we get a palindrome (842212212248).

The spelling of 111101111137 in words is "one hundred eleven billion, one hundred one million, one hundred eleven thousand, one hundred thirty-seven".