110110011111013 has 2 divisors, whose sum is σ = 110110011111014. Its totient is φ = 110110011111012.

The previous prime is 110110011111011. The next prime is 110110011111041. The reversal of 110110011111013 is 310111110011011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 81936495326884 + 28173515784129 = 9051878^2 + 5307873^2 .

It is a cyclic number.

It is not a de Polignac number, because 110110011111013 - 2¹ = 110110011111011 is a prime.

Together with 110110011111011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 110110011110984 and 110110011111002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110110011111011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55055005555506 + 55055005555507.

It is an arithmetic number, because the mean of its divisors is an integer number (55055005555507).

Almost surely, 2^{110110011111013} is an apocalyptic number.

It is an amenable number.

110110011111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

110110011111013 is an equidigital number, since it uses as much as digits as its factorization.

110110011111013 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 13.

Adding to 110110011111013 its reverse (310111110011011), we get a palindrome (420221121122024).

The spelling of 110110011111013 in words is "one hundred ten trillion, one hundred ten billion, eleven million, one hundred eleven thousand, thirteen".