20011000011137 has 2 divisors, whose sum is σ = 20011000011138. Its totient is φ = 20011000011136.

The previous prime is 20011000011131. The next prime is 20011000011229. The reversal of 20011000011137 is 73111000011002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19994705743936 + 16294267201 = 4471544^2 + 127649^2 .

It is a cyclic number.

It is not a de Polignac number, because 20011000011137 - 2⁶ = 20011000011073 is a prime.

It is not a weakly prime, because it can be changed into another prime (20011000011131) 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, 10005500005568 + 10005500005569.

It is an arithmetic number, because the mean of its divisors is an integer number (10005500005569).

Almost surely, 2^{20011000011137} is an apocalyptic number.

It is an amenable number.

20011000011137 is a deficient number, since it is larger than the sum of its proper divisors (1).

20011000011137 is an equidigital number, since it uses as much as digits as its factorization.

20011000011137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 42, while the sum is 17.

Adding to 20011000011137 its reverse (73111000011002), we get a palindrome (93122000022139).

The spelling of 20011000011137 in words is "twenty trillion, eleven billion, eleven thousand, one hundred thirty-seven".