213213000 has 512 divisors, whose sum is σ = 905748480. Its totient is φ = 40320000.

The previous prime is 213212977. The next prime is 213213001. The reversal of 213213000 is 312312.

It is a happy number.

213213000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213213001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3002965 + ... + 3003035.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 2^213213000 is an apocalyptic number.

213213000 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 213213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452874240).

213213000 is an abundant number, since it is smaller than the sum of its proper divisors (692535480).

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

213213000 is a wasteful number, since it uses less digits than its factorization.

213213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213213000 is about 14601.8149556827. The cubic root of 213213000 is about 597.4082654169.

Adding to 213213000 its reverse (312312), we get a palindrome (213525312).

The spelling of 213213000 in words is "two hundred thirteen million, two hundred thirteen thousand".