3001110110113 has 2 divisors, whose sum is σ = 3001110110114. Its totient is φ = 3001110110112.

The previous prime is 3001110110087. The next prime is 3001110110123. The reversal of 3001110110113 is 3110110111003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2336669932689 + 664440177424 = 1528617^2 + 815132^2 .

It is a cyclic number.

It is not a de Polignac number, because 3001110110113 - 2³³ = 2992520175521 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3001110110093 and 3001110110102.

It is not a weakly prime, because it can be changed into another prime (3001110110123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500555055056 + 1500555055057.

It is an arithmetic number, because the mean of its divisors is an integer number (1500555055057).

Almost surely, 2^{3001110110113} is an apocalyptic number.

It is an amenable number.

3001110110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3001110110113 is an equidigital number, since it uses as much as digits as its factorization.

3001110110113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9, while the sum is 13.

Adding to 3001110110113 its reverse (3110110111003), we get a palindrome (6111220221116).

The spelling of 3001110110113 in words is "three trillion, one billion, one hundred ten million, one hundred ten thousand, one hundred thirteen".