213200121321 has 48 divisors (see below), whose sum is σ = 341682831360. Its totient is φ = 127016033760.

The previous prime is 213200121307. The next prime is 213200121331. The reversal of 213200121321 is 123121002312.

213200121321 is a `hidden beast` number, since 2 + 1 + 320 + 0 + 1 + 21 + 321 = 666.

It is not a de Polignac number, because 213200121321 - 2⁶ = 213200121257 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213200121294 and 213200121303.

It is not an unprimeable number, because it can be changed into a prime (213200121331) 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 47 ways as a sum of consecutive naturals, for example, 3143656 + ... + 3210758.

It is an arithmetic number, because the mean of its divisors is an integer number (7118392320).

Almost surely, 2^213200121321 is an apocalyptic number.

It is an amenable number.

213200121321 is a deficient number, since it is larger than the sum of its proper divisors (128482710039).

213200121321 is a wasteful number, since it uses less digits than its factorization.

213200121321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67666 (or 67663 counting only the distinct ones).

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

Adding to 213200121321 its reverse (123121002312), we get a palindrome (336321123633).

The spelling of 213200121321 in words is "two hundred thirteen billion, two hundred million, one hundred twenty-one thousand, three hundred twenty-one".