321113020223106 has 64 divisors (see below), whose sum is σ = 762003459302400. Its totient is φ = 100012954003200.

The previous prime is 321113020223027. The next prime is 321113020223117. The reversal of 321113020223106 is 601322020311123.

321113020223106 is a `hidden beast` number, since 3 + 2 + 11 + 130 + 202 + 2 + 310 + 6 = 666.

It is a super-3 number, since 3×321113020223106³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a self number, because there is not a number n which added to its sum of digits gives 321113020223106.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3307258135 + ... + 3307355226.

It is an arithmetic number, because the mean of its divisors is an integer number (11906304051600).

Almost surely, 2^{321113020223106} is an apocalyptic number.

321113020223106 is an abundant number, since it is smaller than the sum of its proper divisors (440890439079294).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

321113020223106 is a wasteful number, since it uses less digits than its factorization.

321113020223106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6614613432 (or 6614613426 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 321113020223106 its reverse (601322020311123), we get a palindrome (922435040534229).

The spelling of 321113020223106 in words is "three hundred twenty-one trillion, one hundred thirteen billion, twenty million, two hundred twenty-three thousand, one hundred six".