2011131137 has 2 divisors, whose sum is σ = 2011131138. Its totient is φ = 2011131136.

The previous prime is 2011131079. The next prime is 2011131193. The reversal of 2011131137 is 7311311102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1830470656 + 180660481 = 42784^2 + 13441^2 .

It is a cyclic number.

It is not a de Polignac number, because 2011131137 - 2¹⁶ = 2011065601 is a prime.

It is not a weakly prime, because it can be changed into another prime (2011130137) 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, 1005565568 + 1005565569.

It is an arithmetic number, because the mean of its divisors is an integer number (1005565569).

Almost surely, 2^2011131137 is an apocalyptic number.

It is an amenable number.

2011131137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2011131137 is an equidigital number, since it uses as much as digits as its factorization.

2011131137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 126, while the sum is 20.

The square root of 2011131137 is about 44845.6367665796. The cubic root of 2011131137 is about 1262.2541192500.

Adding to 2011131137 its reverse (7311311102), we get a palindrome (9322442239).

The spelling of 2011131137 in words is "two billion, eleven million, one hundred thirty-one thousand, one hundred thirty-seven".