811100137 has 2 divisors, whose sum is σ = 811100138. Its totient is φ = 811100136.

The previous prime is 811100131. The next prime is 811100149. The reversal of 811100137 is 731001118.

811100137 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., 520022416 + 291077721 = 22804^2 + 17061^2 .

It is a cyclic number.

It is not a de Polignac number, because 811100137 - 2²³ = 802711529 is a prime.

It is not a weakly prime, because it can be changed into another prime (811100131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 405550068 + 405550069.

It is an arithmetic number, because the mean of its divisors is an integer number (405550069).

Almost surely, 2^811100137 is an apocalyptic number.

It is an amenable number.

811100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

811100137 is an equidigital number, since it uses as much as digits as its factorization.

811100137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 22.

The square root of 811100137 is about 28479.8198203570. The cubic root of 811100137 is about 932.5915832684.

The spelling of 811100137 in words is "eight hundred eleven million, one hundred thousand, one hundred thirty-seven".