212013313321 has 16 divisors (see below), whose sum is σ = 216024454800. Its totient is φ = 208046942208.

The previous prime is 212013313283. The next prime is 212013313357. The reversal of 212013313321 is 123313310212.

It can be written as a sum of positive squares in 8 ways, for example, as 1388307600 + 210625005721 = 37260^2 + 458939^2 .

It is a cyclic number.

It is not a de Polignac number, because 212013313321 - 2²⁵ = 211979758889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 212013313292 and 212013313301.

It is not an unprimeable number, because it can be changed into a prime (212013319321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6449595 + ... + 6482383.

It is an arithmetic number, because the mean of its divisors is an integer number (13501528425).

Almost surely, 2^212013313321 is an apocalyptic number.

It is an amenable number.

212013313321 is a deficient number, since it is larger than the sum of its proper divisors (4011141479).

212013313321 is a wasteful number, since it uses less digits than its factorization.

212013313321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33468.

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

Adding to 212013313321 its reverse (123313310212), we get a palindrome (335326623533).

The spelling of 212013313321 in words is "two hundred twelve billion, thirteen million, three hundred thirteen thousand, three hundred twenty-one".