110101110013 has 2 divisors, whose sum is σ = 110101110014. Its totient is φ = 110101110012.

The previous prime is 110101109999. The next prime is 110101110047. The reversal of 110101110013 is 310011101011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 84668196484 + 25432913529 = 290978^2 + 159477^2 .

It is an emirp because it is prime and its reverse (310011101011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 110101110013 - 2²¹ = 110099012861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110101140013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050555006 + 55050555007.

It is an arithmetic number, because the mean of its divisors is an integer number (55050555007).

Almost surely, 2^110101110013 is an apocalyptic number.

It is an amenable number.

110101110013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101110013 is an equidigital number, since it uses as much as digits as its factorization.

110101110013 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 10.

Adding to 110101110013 its reverse (310011101011), we get a palindrome (420112211024).

The spelling of 110101110013 in words is "one hundred ten billion, one hundred one million, one hundred ten thousand, thirteen".