113123383321311 has 144 divisors (see below), whose sum is σ = 189778727057920. Its totient is φ = 64704194755200.

The previous prime is 113123383321307. The next prime is 113123383321313.

113123383321311 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 2 + 3 + 3 + 8 + 332 + 1 + 311 = 666.

113123383321311 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 113123383321311 - 2² = 113123383321307 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113123383321313) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6332823366 + ... + 6332841228.

Almost surely, 2^{113123383321311} is an apocalyptic number.

113123383321311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

113123383321311 is a deficient number, since it is larger than the sum of its proper divisors (76655343736609).

113123383321311 is a wasteful number, since it uses less digits than its factorization.

113123383321311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19058 (or 19044 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The spelling of 113123383321311 in words is "one hundred thirteen trillion, one hundred twenty-three billion, three hundred eighty-three million, three hundred twenty-one thousand, three hundred eleven".