11000001011137 has 2 divisors, whose sum is σ = 11000001011138. Its totient is φ = 11000001011136.

The previous prime is 11000001011093. The next prime is 11000001011147. The reversal of 11000001011137 is 73111010000011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7893492535296 + 3106508475841 = 2809536^2 + 1762529^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000001011137 - 2²³ = 10999992622529 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11000001011137.

It is not a weakly prime, because it can be changed into another prime (11000001011147) 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, 5500000505568 + 5500000505569.

It is an arithmetic number, because the mean of its divisors is an integer number (5500000505569).

Almost surely, 2^{11000001011137} is an apocalyptic number.

It is an amenable number.

11000001011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000001011137 is an equidigital number, since it uses as much as digits as its factorization.

11000001011137 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 16.

Adding to 11000001011137 its reverse (73111010000011), we get a palindrome (84111011011148).

The spelling of 11000001011137 in words is "eleven trillion, one million, eleven thousand, one hundred thirty-seven".