113321331123 has 192 divisors, whose sum is σ = 213185968128. Its totient is φ = 52594375680.

The previous prime is 113321331121. The next prime is 113321331163. The reversal of 113321331123 is 321133123311.

It is not a de Polignac number, because 113321331123 - 2¹ = 113321331121 is a prime.

It is a super-2 number, since 2×113321331123² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113321331093 and 113321331102.

It is not an unprimeable number, because it can be changed into a prime (113321331121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 285443961 + ... + 285444357.

It is an arithmetic number, because the mean of its divisors is an integer number (1110343584).

Almost surely, 2^113321331123 is an apocalyptic number.

113321331123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

113321331123 is a deficient number, since it is larger than the sum of its proper divisors (99864637005).

113321331123 is a wasteful number, since it uses less digits than its factorization.

113321331123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 835 counting only the distinct ones).

The product of its digits is 972, while the sum is 24.

Adding to 113321331123 its reverse (321133123311), we get a palindrome (434454454434).

It can be divided in two parts, 113321 and 331123, that added together give a palindrome (444444).

The spelling of 113321331123 in words is "one hundred thirteen billion, three hundred twenty-one million, three hundred thirty-one thousand, one hundred twenty-three".