113332121223321 has 384 divisors, whose sum is σ = 215765485737984. Its totient is φ = 51964392775680.

The previous prime is 113332121223319. The next prime is 113332121223323. The reversal of 113332121223321 is 123322121233311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113332121223319) and next prime (113332121223323).

It is not a de Polignac number, because 113332121223321 - 2¹ = 113332121223319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (113332121223323) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24335862225 + ... + 24335866881.

It is an arithmetic number, because the mean of its divisors is an integer number (561889285776).

Almost surely, 2^{113332121223321} is an apocalyptic number.

113332121223321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

113332121223321 is a deficient number, since it is larger than the sum of its proper divisors (102433364514663).

113332121223321 is a wasteful number, since it uses less digits than its factorization.

113332121223321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5269 (or 5262 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 113332121223321 its reverse (123322121233311), we get a palindrome (236654242456632).

The spelling of 113332121223321 in words is "one hundred thirteen trillion, three hundred thirty-two billion, one hundred twenty-one million, two hundred twenty-three thousand, three hundred twenty-one".