113300111003311 has 2 divisors, whose sum is σ = 113300111003312. Its totient is φ = 113300111003310.

The previous prime is 113300111003153. The next prime is 113300111003351.

113300111003311 is nontrivially palindromic in base 10.

It is a strong prime.

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 113300111003311 - 2²³ = 113300102614703 is a prime.

It is a zygodrome in base 10.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113300111003351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56650055501655 + 56650055501656.

It is an arithmetic number, because the mean of its divisors is an integer number (56650055501656).

Almost surely, 2^{113300111003311} is an apocalyptic number.

113300111003311 is a deficient number, since it is larger than the sum of its proper divisors (1).

113300111003311 is an equidigital number, since it uses as much as digits as its factorization.

113300111003311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 19.

The spelling of 113300111003311 in words is "one hundred thirteen trillion, three hundred billion, one hundred eleven million, three thousand, three hundred eleven".