11011001001137 has 2 divisors, whose sum is σ = 11011001001138. Its totient is φ = 11011001001136.

The previous prime is 11011001001079. The next prime is 11011001001257. The reversal of 11011001001137 is 73110010011011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9554287182001 + 1456713819136 = 3091001^2 + 1206944^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011001001137 - 2⁶ = 11011001001073 is a prime.

It is not a weakly prime, because it can be changed into another prime (11011001004137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505500500568 + 5505500500569.

It is an arithmetic number, because the mean of its divisors is an integer number (5505500500569).

Almost surely, 2^{11011001001137} is an apocalyptic number.

It is an amenable number.

11011001001137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011001001137 is an equidigital number, since it uses as much as digits as its factorization.

11011001001137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 21, while the sum is 17.

Adding to 11011001001137 its reverse (73110010011011), we get a palindrome (84121011012148).

The spelling of 11011001001137 in words is "eleven trillion, eleven billion, one million, one thousand, one hundred thirty-seven".