321113321001 has 64 divisors (see below), whose sum is σ = 526764902400. Its totient is φ = 191696500800.

The previous prime is 321113320963. The next prime is 321113321017. The reversal of 321113321001 is 100123311123.

321113321001 is a `hidden beast` number, since 321 + 1 + 1 + 332 + 10 + 0 + 1 = 666.

It is not a de Polignac number, because 321113321001 - 2⁷ = 321113320873 is a prime.

It is a super-3 number, since 3×321113321001³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (321113321051) 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 63 ways as a sum of consecutive naturals, for example, 25023855 + ... + 25036683.

It is an arithmetic number, because the mean of its divisors is an integer number (8230701600).

Almost surely, 2^321113321001 is an apocalyptic number.

It is an amenable number.

321113321001 is a deficient number, since it is larger than the sum of its proper divisors (205651581399).

321113321001 is a wasteful number, since it uses less digits than its factorization.

321113321001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14107 (or 14101 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 321113321001 its reverse (100123311123), we get a palindrome (421236632124).

The spelling of 321113321001 in words is "three hundred twenty-one billion, one hundred thirteen million, three hundred twenty-one thousand, one".