111729011137 has 2 divisors, whose sum is σ = 111729011138. Its totient is φ = 111729011136.

The previous prime is 111729011131. The next prime is 111729011179. The reversal of 111729011137 is 731110927111.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95792726016 + 15936285121 = 309504^2 + 126239^2 .

It is a cyclic number.

It is not a de Polignac number, because 111729011137 - 2³⁵ = 77369272769 is a prime.

It is not a weakly prime, because it can be changed into another prime (111729011131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55864505568 + 55864505569.

It is an arithmetic number, because the mean of its divisors is an integer number (55864505569).

Almost surely, 2^111729011137 is an apocalyptic number.

It is an amenable number.

111729011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

111729011137 is an equidigital number, since it uses as much as digits as its factorization.

111729011137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 34.

Adding to 111729011137 its reverse (731110927111), we get a palindrome (842839938248).

The spelling of 111729011137 in words is "one hundred eleven billion, seven hundred twenty-nine million, eleven thousand, one hundred thirty-seven".