11000011110113 has 2 divisors, whose sum is σ = 11000011110114. Its totient is φ = 11000011110112.

The previous prime is 11000011110103. The next prime is 11000011110149. The reversal of 11000011110113 is 31101111000011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9366709218064 + 1633301892049 = 3060508^2 + 1278007^2 .

It is a cyclic number.

It is not a de Polignac number, because 11000011110113 - 2²⁴ = 10999994332897 is a prime.

It is a super-2 number, since 2×11000011110113² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11000011110094 and 11000011110103.

It is not a weakly prime, because it can be changed into another prime (11000011110103) 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, 5500005555056 + 5500005555057.

It is an arithmetic number, because the mean of its divisors is an integer number (5500005555057).

Almost surely, 2^{11000011110113} is an apocalyptic number.

It is an amenable number.

11000011110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11000011110113 is an equidigital number, since it uses as much as digits as its factorization.

11000011110113 is an odious number, because the sum of its binary digits is odd.

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

Adding to 11000011110113 its reverse (31101111000011), we get a palindrome (42101122110124).

The spelling of 11000011110113 in words is "eleven trillion, eleven million, one hundred ten thousand, one hundred thirteen".