1111000011137 has 2 divisors, whose sum is σ = 1111000011138. Its totient is φ = 1111000011136.

The previous prime is 1111000011101. The next prime is 1111000011139. The reversal of 1111000011137 is 7311100001111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1053874709056 + 57125302081 = 1026584^2 + 239009^2 .

It is an emirp because it is prime and its reverse (7311100001111) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1111000011137 is a prime.

Together with 1111000011139, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1111000011139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 555500005568 + 555500005569.

It is an arithmetic number, because the mean of its divisors is an integer number (555500005569).

Almost surely, 2^{1111000011137} is an apocalyptic number.

It is an amenable number.

1111000011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1111000011137 is an equidigital number, since it uses as much as digits as its factorization.

1111000011137 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 17.

Adding to 1111000011137 its reverse (7311100001111), we get a palindrome (8422100012248).

The spelling of 1111000011137 in words is "one trillion, one hundred eleven billion, eleven thousand, one hundred thirty-seven".