213213000000 has 1568 divisors, whose sum is σ = 960107710464. Its totient is φ = 40320000000.

The previous prime is 213212999947. The next prime is 213213000037. The reversal of 213213000000 is 312312.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213213000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3002999965 + ... + 3003000035.

Almost surely, 2^213213000000 is an apocalyptic number.

213213000000 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 213213000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480053855232).

213213000000 is an abundant number, since it is smaller than the sum of its proper divisors (746894710464).

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

213213000000 is an equidigital number, since it uses as much as digits as its factorization.

213213000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 112 counting only the distinct ones).

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

Adding to 213213000000 its reverse (312312), we get a palindrome (213213312312).

It can be divided in two parts, 213 and 213000000, that multiplied together give a square (45369000000 = 213000²).

The spelling of 213213000000 in words is "two hundred thirteen billion, two hundred thirteen million", and thus it is an aban number.