1011131137 has 2 divisors, whose sum is σ = 1011131138. Its totient is φ = 1011131136.

The previous prime is 1011131087. The next prime is 1011131167. The reversal of 1011131137 is 7311311101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 850247281 + 160883856 = 29159^2 + 12684^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011131137 - 2²⁷ = 876913409 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011131167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505565568 + 505565569.

It is an arithmetic number, because the mean of its divisors is an integer number (505565569).

Almost surely, 2^1011131137 is an apocalyptic number.

It is an amenable number.

1011131137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011131137 is an equidigital number, since it uses as much as digits as its factorization.

1011131137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 63, while the sum is 19.

The square root of 1011131137 is about 31798.2882715407. The cubic root of 1011131137 is about 1003.6966965951.

Adding to 1011131137 its reverse (7311311101), we get a palindrome (8322442238).

The spelling of 1011131137 in words is "one billion, eleven million, one hundred thirty-one thousand, one hundred thirty-seven".