213233020 has 96 divisors (see below), whose sum is σ = 601284096. Its totient is φ = 61344000.

The previous prime is 213233017. The next prime is 213233039. The reversal of 213233020 is 20332312.

213233020 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

213233020 is strictly pandigital in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 213232985 and 213233003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14695 + ... + 25345.

It is an arithmetic number, because the mean of its divisors is an integer number (6263376).

Almost surely, 2^213233020 is an apocalyptic number.

213233020 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 213233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300642048).

213233020 is an abundant number, since it is smaller than the sum of its proper divisors (388051076).

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

213233020 is a wasteful number, since it uses less digits than its factorization.

213233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10691 (or 10689 counting only the distinct ones).

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

The square root of 213233020 is about 14602.5004708098. The cubic root of 213233020 is about 597.4269630560.

Adding to 213233020 its reverse (20332312), we get a palindrome (233565332).

The spelling of 213233020 in words is "two hundred thirteen million, two hundred thirty-three thousand, twenty".