213002133210 has 72 divisors (see below), whose sum is σ = 584487383220. Its totient is φ = 53811057024.

The previous prime is 213002133203. The next prime is 213002133217. The reversal of 213002133210 is 12331200312.

213002133210 is a `hidden beast` number, since 2 + 1 + 300 + 21 + 332 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (213002133203) and next prime (213002133217).

It can be written as a sum of positive squares in 2 ways, for example, as 204983468001 + 8018665209 = 452751^2 + 89547^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213002133217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3245475 + ... + 3310454.

Almost surely, 2^213002133210 is an apocalyptic number.

213002133210 is an abundant number, since it is smaller than the sum of its proper divisors (371485250010).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213002133210 is a wasteful number, since it uses less digits than its factorization.

213002133210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6555980 (or 6555958 counting only the distinct ones).

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

Adding to 213002133210 its reverse (12331200312), we get a palindrome (225333333522).

The spelling of 213002133210 in words is "two hundred thirteen billion, two million, one hundred thirty-three thousand, two hundred ten".