113323343323311 has 36 divisors (see below), whose sum is σ = 181604443476456. Its totient is φ = 68038937297760.

The previous prime is 113323343323279. The next prime is 113323343323367.

It is a happy number.

113323343323311 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 2 + 3 + 3 + 4 + 332 + 3 + 311 = 666.

113323343323311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113323343323311 - 2⁵ = 113323343323279 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113323343323381) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 486153756 + ... + 486386801.

It is an arithmetic number, because the mean of its divisors is an integer number (5044567874346).

Almost surely, 2^{113323343323311} is an apocalyptic number.

113323343323311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113323343323311 is a deficient number, since it is larger than the sum of its proper divisors (68281100153145).

113323343323311 is a wasteful number, since it uses less digits than its factorization.

113323343323311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972540692 (or 972540678 counting only the distinct ones).

The product of its digits is 104976, while the sum is 36.

The spelling of 113323343323311 in words is "one hundred thirteen trillion, three hundred twenty-three billion, three hundred forty-three million, three hundred twenty-three thousand, three hundred eleven".