213332020 has 96 divisors (see below), whose sum is σ = 509556096. Its totient is φ = 74342400.

The previous prime is 213332017. The next prime is 213332027. The reversal of 213332020 is 20233312.

It is a junction number, because it is equal to n+sod(n) for n = 213331985 and 213332003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213332027) 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 31 ways as a sum of consecutive naturals, for example, 604164 + ... + 604516.

It is an arithmetic number, because the mean of its divisors is an integer number (5307876).

Almost surely, 2^213332020 is an apocalyptic number.

213332020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213332020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254778048).

213332020 is an abundant number, since it is smaller than the sum of its proper divisors (296224076).

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

213332020 is a wasteful number, since it uses less digits than its factorization.

213332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 213332020 is about 14605.8899078420. The cubic root of 213332020 is about 597.5194067096.

Adding to 213332020 its reverse (20233312), we get a palindrome (233565332).

It can be divided in two parts, 213 and 332020, that added together give a palindrome (332233).

The spelling of 213332020 in words is "two hundred thirteen million, three hundred thirty-two thousand, twenty".