321100112133333 has 128 divisors (see below), whose sum is σ = 538108130165760. Its totient is φ = 187914650526720.

The previous prime is 321100112133319. The next prime is 321100112133337. The reversal of 321100112133333 is 333331211001123.

321100112133333 is a `hidden beast` number, since 3 + 2 + 1 + 100 + 11 + 213 + 3 + 333 = 666.

It is not a de Polignac number, because 321100112133333 - 2¹³ = 321100112125141 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 321100112133297 and 321100112133306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321100112133337) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 180138903 + ... + 181912683.

It is an arithmetic number, because the mean of its divisors is an integer number (4203969766920).

Almost surely, 2^{321100112133333} is an apocalyptic number.

It is an amenable number.

321100112133333 is a deficient number, since it is larger than the sum of its proper divisors (217008018032427).

321100112133333 is a wasteful number, since it uses less digits than its factorization.

321100112133333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774156 (or 1774150 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 321100112133333 its reverse (333331211001123), we get a palindrome (654431323134456).

The spelling of 321100112133333 in words is "three hundred twenty-one trillion, one hundred billion, one hundred twelve million, one hundred thirty-three thousand, three hundred thirty-three".