1011011111137 has 2 divisors, whose sum is σ = 1011011111138. Its totient is φ = 1011011111136.

The previous prime is 1011011111087. The next prime is 1011011111153. The reversal of 1011011111137 is 7311111101101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 530164559376 + 480846551761 = 728124^2 + 693431^2 .

It is an emirp because it is prime and its reverse (7311111101101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1011011111137 - 2⁷ = 1011011111009 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011011111837) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505505555568 + 505505555569.

It is an arithmetic number, because the mean of its divisors is an integer number (505505555569).

Almost surely, 2^{1011011111137} is an apocalyptic number.

It is an amenable number.

1011011111137 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011011111137 is an equidigital number, since it uses as much as digits as its factorization.

1011011111137 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 19.

Adding to 1011011111137 its reverse (7311111101101), we get a palindrome (8322122212238).

The spelling of 1011011111137 in words is "one trillion, eleven billion, eleven million, one hundred eleven thousand, one hundred thirty-seven".