322002112000113 has 12 divisors (see below), whose sum is σ = 492473818353348. Its totient is φ = 202040540862720.

The previous prime is 322002112000061. The next prime is 322002112000141. The reversal of 322002112000113 is 311000211200223.

322002112000113 is a `hidden beast` number, since 322 + 0 + 0 + 211 + 20 + 0 + 0 + 113 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 119690973673569 + 202311138326544 = 10940337^2 + 14223612^2 .

It is not a de Polignac number, because 322002112000113 - 2¹⁶ = 322002111934577 is a prime.

It is a super-3 number, since 3×322002112000113³ (a number of 45 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (322002112000813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1052294483508 + ... + 1052294483813.

It is an arithmetic number, because the mean of its divisors is an integer number (41039484862779).

Almost surely, 2^{322002112000113} is an apocalyptic number.

It is an amenable number.

322002112000113 is a deficient number, since it is larger than the sum of its proper divisors (170471706353235).

322002112000113 is a wasteful number, since it uses less digits than its factorization.

322002112000113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104588967344 (or 2104588967341 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 322002112000113 its reverse (311000211200223), we get a palindrome (633002323200336).

The spelling of 322002112000113 in words is "three hundred twenty-two trillion, two billion, one hundred twelve million, one hundred thirteen", and thus it is an aban number.