113323222323311 has 96 divisors (see below), whose sum is σ = 159819228807168. Its totient is φ = 78100783200000.

The previous prime is 113323222323211. The next prime is 113323222323313.

113323222323311 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-113323222323311 is a prime.

It is a super-2 number, since 2×113323222323311² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113323222323313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32831906 + ... + 36118976.

It is an arithmetic number, because the mean of its divisors is an integer number (1664783633408).

Almost surely, 2^{113323222323311} is an apocalyptic number.

113323222323311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113323222323311 is a deficient number, since it is larger than the sum of its proper divisors (46496006483857).

113323222323311 is a wasteful number, since it uses less digits than its factorization.

113323222323311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287245 (or 3287234 counting only the distinct ones).

The product of its digits is 23328, while the sum is 32.

The spelling of 113323222323311 in words is "one hundred thirteen trillion, three hundred twenty-three billion, two hundred twenty-two million, three hundred twenty-three thousand, three hundred eleven".