213030000 has 250 divisors, whose sum is σ = 773396184. Its totient is φ = 56592000.

The previous prime is 213029963. The next prime is 213030011. The reversal of 213030000 is 30312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (250).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 809869 + ... + 810131.

Almost surely, 2^213030000 is an apocalyptic number.

213030000 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 213030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386698092).

213030000 is an abundant number, since it is smaller than the sum of its proper divisors (560366184).

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

213030000 is an equidigital number, since it uses as much as digits as its factorization.

213030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 213030000 is about 14595.5472662042. The cubic root of 213030000 is about 597.2372986599.

Adding to 213030000 its reverse (30312), we get a palindrome (213060312).

The spelling of 213030000 in words is "two hundred thirteen million, thirty thousand".