211320313321 has 8 divisors (see below), whose sum is σ = 227597814920. Its totient is φ = 195045967872.

The previous prime is 211320313277. The next prime is 211320313333. The reversal of 211320313321 is 123313023112.

211320313321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 88153321 + 211232160000 = 9389^2 + 459600^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-211320313321 is a prime.

It is a super-3 number, since 3×211320313321³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211320313292 and 211320313301.

It is not an unprimeable number, because it can be changed into a prime (211320313361) 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 7 ways as a sum of consecutive naturals, for example, 649050 + ... + 918643.

It is an arithmetic number, because the mean of its divisors is an integer number (28449726865).

Almost surely, 2^211320313321 is an apocalyptic number.

It is an amenable number.

211320313321 is a deficient number, since it is larger than the sum of its proper divisors (16277501599).

211320313321 is a wasteful number, since it uses less digits than its factorization.

211320313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578075.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 211320313321 its reverse (123313023112), we get a palindrome (334633336433).

The spelling of 211320313321 in words is "two hundred eleven billion, three hundred twenty million, three hundred thirteen thousand, three hundred twenty-one".