1000011137 has 2 divisors, whose sum is σ = 1000011138. Its totient is φ = 1000011136.

The previous prime is 1000011109. The next prime is 1000011149. The reversal of 1000011137 is 7311100001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 755370256 + 244640881 = 27484^2 + 15641^2 .

It is an emirp because it is prime and its reverse (7311100001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1000011137 - 2¹⁴ = 999994753 is a prime.

It is not a weakly prime, because it can be changed into another prime (1000011107) 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, 500005568 + 500005569.

It is an arithmetic number, because the mean of its divisors is an integer number (500005569).

Almost surely, 2^1000011137 is an apocalyptic number.

It is an amenable number.

1000011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000011137 is an equidigital number, since it uses as much as digits as its factorization.

1000011137 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 14.

The square root of 1000011137 is about 31622.9526926250. The cubic root of 1000011137 is about 1000.0037123196.

Adding to 1000011137 its reverse (7311100001), we get a palindrome (8311111138).

The spelling of 1000011137 in words is "one billion, eleven thousand, one hundred thirty-seven".