113330000033311 has 2 divisors, whose sum is σ = 113330000033312. Its totient is φ = 113330000033310.

The previous prime is 113330000033251. The next prime is 113330000033317.

113330000033311 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 113330000033311 - 2¹⁵ = 113330000000543 is a prime.

It is a super-2 number, since 2×113330000033311² (a number of 29 digits) contains 22 as substring.

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 (113330000033317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56665000016655 + 56665000016656.

It is an arithmetic number, because the mean of its divisors is an integer number (56665000016656).

Almost surely, 2^{113330000033311} is an apocalyptic number.

113330000033311 is a deficient number, since it is larger than the sum of its proper divisors (1).

113330000033311 is an equidigital number, since it uses as much as digits as its factorization.

113330000033311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 729, while the sum is 22.

It can be divided in two parts, 1133300000 and 33311, that added together give a palindrome (1133333311).

The spelling of 113330000033311 in words is "one hundred thirteen trillion, three hundred thirty billion, thirty-three thousand, three hundred eleven".