213102333 has 20 divisors (see below), whose sum is σ = 320492700. Its totient is φ = 141106752.

The previous prime is 213102319. The next prime is 213102343. The reversal of 213102333 is 333201312.

213102333 is a `hidden beast` number, since 21 + 310 + 2 + 333 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 25220484 + 187881849 = 5022^2 + 13707^2 .

It is not a de Polignac number, because 213102333 - 2⁶ = 213102269 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213102343) 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 19 ways as a sum of consecutive naturals, for example, 3241 + ... + 20897.

It is an arithmetic number, because the mean of its divisors is an integer number (16024635).

Almost surely, 2^213102333 is an apocalyptic number.

It is an amenable number.

213102333 is a deficient number, since it is larger than the sum of its proper divisors (107390367).

213102333 is a wasteful number, since it uses less digits than its factorization.

213102333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17818 (or 17809 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213102333 is about 14598.0249691525. The cubic root of 213102333 is about 597.3048870700.

Adding to 213102333 its reverse (333201312), we get a palindrome (546303645).

The spelling of 213102333 in words is "two hundred thirteen million, one hundred two thousand, three hundred thirty-three".