213211003021 has 16 divisors (see below), whose sum is σ = 221632819200. Its totient is φ = 204886535040.

The previous prime is 213211003001. The next prime is 213211003067. The reversal of 213211003021 is 120300112312.

213211003021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 213211003021 - 2¹⁵ = 213210970253 is a prime.

It is a super-3 number, since 3×213211003021³ (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 = 213211002986 and 213211003004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213211003001) 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 15 ways as a sum of consecutive naturals, for example, 24970665 + ... + 24979201.

It is an arithmetic number, because the mean of its divisors is an integer number (13852051200).

Almost surely, 2^213211003021 is an apocalyptic number.

It is an amenable number.

213211003021 is a deficient number, since it is larger than the sum of its proper divisors (8421816179).

213211003021 is a wasteful number, since it uses less digits than its factorization.

213211003021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14124.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 213211003021 its reverse (120300112312), we get a palindrome (333511115333).

The spelling of 213211003021 in words is "two hundred thirteen billion, two hundred eleven million, three thousand, twenty-one".