213133221 has 32 divisors (see below), whose sum is σ = 361681920. Its totient is φ = 121513392.

The previous prime is 213133213. The next prime is 213133223. The reversal of 213133221 is 122331312.

213133221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 213133221 - 2³ = 213133213 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 213133194 and 213133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213133223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105406 + ... + 107408.

It is an arithmetic number, because the mean of its divisors is an integer number (11302560).

Almost surely, 2^213133221 is an apocalyptic number.

213133221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

213133221 is a deficient number, since it is larger than the sum of its proper divisors (148548699).

213133221 is a wasteful number, since it uses less digits than its factorization.

213133221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2582 (or 2576 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 213133221 is about 14599.0828821539. The cubic root of 213133221 is about 597.3337443515. Note that the first 3 decimals are identical.

Adding to 213133221 its reverse (122331312), we get a palindrome (335464533).

The spelling of 213133221 in words is "two hundred thirteen million, one hundred thirty-three thousand, two hundred twenty-one".