11011000110113 has 2 divisors, whose sum is σ = 11011000110114. Its totient is φ = 11011000110112.

The previous prime is 11011000110067. The next prime is 11011000110119. The reversal of 11011000110113 is 31101100011011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8906028584209 + 2104971525904 = 2984297^2 + 1450852^2 .

It is a cyclic number.

It is not a de Polignac number, because 11011000110113 - 2¹⁴ = 11011000093729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11011000110094 and 11011000110103.

It is not a weakly prime, because it can be changed into another prime (11011000110119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5505500055056 + 5505500055057.

It is an arithmetic number, because the mean of its divisors is an integer number (5505500055057).

Almost surely, 2^{11011000110113} is an apocalyptic number.

It is an amenable number.

11011000110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

11011000110113 is an equidigital number, since it uses as much as digits as its factorization.

11011000110113 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 11011000110113 its reverse (31101100011011), we get a palindrome (42112100121124).

It can be divided in two parts, 1101100011011 and 3, that multiplied together give a palindrome (3303300033033).

The spelling of 11011000110113 in words is "eleven trillion, eleven billion, one hundred ten thousand, one hundred thirteen".