213213020 has 48 divisors (see below), whose sum is σ = 460101600. Its totient is φ = 82963200.

The previous prime is 213213019. The next prime is 213213023. The reversal of 213213020 is 20312312.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 213212986 and 213213004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213213023) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 118286 + ... + 120074.

It is an arithmetic number, because the mean of its divisors is an integer number (9585450).

Almost surely, 2^213213020 is an apocalyptic number.

213213020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213213020 is an abundant number, since it is smaller than the sum of its proper divisors (246888580).

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

213213020 is a wasteful number, since it uses less digits than its factorization.

213213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 213213020 is about 14601.8156405291. The cubic root of 213213020 is about 597.4082840964.

Adding to 213213020 its reverse (20312312), we get a palindrome (233525332).

The spelling of 213213020 in words is "two hundred thirteen million, two hundred thirteen thousand, twenty".