110001101110013 has 2 divisors, whose sum is σ = 110001101110014. Its totient is φ = 110001101110012.

The previous prime is 110001101110001. The next prime is 110001101110097. The reversal of 110001101110013 is 310011101100011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92868935743609 + 17132165366404 = 9636853^2 + 4139102^2 .

It is a cyclic number.

It is not a de Polignac number, because 110001101110013 - 2⁴⁶ = 39632356932349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110001101109976 and 110001101110003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110001101110213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000550555006 + 55000550555007.

It is an arithmetic number, because the mean of its divisors is an integer number (55000550555007).

Almost surely, 2^{110001101110013} is an apocalyptic number.

It is an amenable number.

110001101110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110001101110013 is an equidigital number, since it uses as much as digits as its factorization.

110001101110013 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 110001101110013 its reverse (310011101100011), we get a palindrome (420012202210024).

The spelling of 110001101110013 in words is "one hundred ten trillion, one billion, one hundred one million, one hundred ten thousand, thirteen".