213133120 has 28 divisors (see below), whose sum is σ = 507524004. Its totient is φ = 85253120.

The previous prime is 213133117. The next prime is 213133147. The reversal of 213133120 is 21331312.

213133120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 34857216 + 178275904 = 5904^2 + 13352^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 213133094 and 213133103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 332701 + ... + 333340.

Almost surely, 2^213133120 is an apocalyptic number.

213133120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213133120 is an abundant number, since it is smaller than the sum of its proper divisors (294390884).

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

213133120 is an equidigital number, since it uses as much as digits as its factorization.

213133120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666058 (or 666048 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 213133120 is about 14599.0794230321. The cubic root of 213133120 is about 597.3336499963. Note that the first 3 decimals are identical.

Adding to 213133120 its reverse (21331312), we get a palindrome (234464432).

The spelling of 213133120 in words is "two hundred thirteen million, one hundred thirty-three thousand, one hundred twenty".