113211111321 has 144 divisors (see below), whose sum is σ = 212735652480. Its totient is φ = 58526219520.

The previous prime is 113211111289. The next prime is 113211111331. The reversal of 113211111321 is 123111112311.

113211111321 is a `hidden beast` number, since 1 + 1 + 321 + 11 + 11 + 321 = 666.

It is not a de Polignac number, because 113211111321 - 2⁵ = 113211111289 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 113211111294 and 113211111303.

It is not an unprimeable number, because it can be changed into a prime (113211111331) 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, 139939165 + ... + 139939973.

It is an arithmetic number, because the mean of its divisors is an integer number (1477330920).

Almost surely, 2^113211111321 is an apocalyptic number.

113211111321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113211111321 is a deficient number, since it is larger than the sum of its proper divisors (99524541159).

113211111321 is an frugal number, since it uses more digits than its factorization.

113211111321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1107 counting only the distinct ones).

The product of its digits is 36, while the sum is 18.

Adding to 113211111321 its reverse (123111112311), we get a palindrome (236322223632).

The spelling of 113211111321 in words is "one hundred thirteen billion, two hundred eleven million, one hundred eleven thousand, three hundred twenty-one".