11006573003137 has 2 divisors, whose sum is σ = 11006573003138. Its totient is φ = 11006573003136.

The previous prime is 11006573003077. The next prime is 11006573003189. The reversal of 11006573003137 is 73130037560011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9169244261776 + 1837328741361 = 3028076^2 + 1355481^2 .

It is a cyclic number.

It is not a de Polignac number, because 11006573003137 - 2⁷ = 11006573003009 is a prime.

It is a super-2 number, since 2×11006573003137² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11006573003096 and 11006573003105.

It is not a weakly prime, because it can be changed into another prime (11006573006137) 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, 5503286501568 + 5503286501569.

It is an arithmetic number, because the mean of its divisors is an integer number (5503286501569).

Almost surely, 2^{11006573003137} is an apocalyptic number.

It is an amenable number.

11006573003137 is a deficient number, since it is larger than the sum of its proper divisors (1).

11006573003137 is an equidigital number, since it uses as much as digits as its factorization.

11006573003137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39690, while the sum is 37.

The spelling of 11006573003137 in words is "eleven trillion, six billion, five hundred seventy-three million, three thousand, one hundred thirty-seven".