213133220 has 24 divisors (see below), whose sum is σ = 447910008. Its totient is φ = 85190400.

The previous prime is 213133213. The next prime is 213133223. The reversal of 213133220 is 22331312.

It can be written as a sum of positive squares in 4 ways, for example, as 15618304 + 197514916 = 3952^2 + 14054^2 .

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31760 + ... + 37880.

It is an arithmetic number, because the mean of its divisors is an integer number (18662917).

Almost surely, 2^213133220 is an apocalyptic number.

213133220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213133220 is an abundant number, since it is smaller than the sum of its proper divisors (234776788).

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

213133220 is a wasteful number, since it uses less digits than its factorization.

213133220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7871 (or 7869 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

The square root of 213133220 is about 14599.0828479052. The cubic root of 213133220 is about 597.3337434173. Note that the first 3 decimals are identical.

Adding to 213133220 its reverse (22331312), we get a palindrome (235464532).

The spelling of 213133220 in words is "two hundred thirteen million, one hundred thirty-three thousand, two hundred twenty".