11000111010113 has 2 divisors, whose sum is σ = 11000111010114. Its totient is φ = 11000111010112.

The previous prime is 11000111010067. The next prime is 11000111010149. The reversal of 11000111010113 is 31101011100011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10822303734529 + 177807275584 = 3289727^2 + 421672^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000111010113 - 2²² = 11000106815809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11000111010094 and 11000111010103.

It is not a weakly prime, because it can be changed into another prime (11000111010193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5500055505056 + 5500055505057.

It is an arithmetic number, because the mean of its divisors is an integer number (5500055505057).

Almost surely, 2^{11000111010113} is an apocalyptic number.

It is an amenable number.

11000111010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000111010113 is an equidigital number, since it uses as much as digits as its factorization.

11000111010113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 11000111010113 its reverse (31101011100011), we get a palindrome (42101122110124).

The spelling of 11000111010113 in words is "eleven trillion, one hundred eleven million, ten thousand, one hundred thirteen".