213310000 has 100 divisors (see below), whose sum is σ = 524700792. Its totient is φ = 83968000.

The previous prime is 213309997. The next prime is 213310007. The reversal of 213310000 is 13312.

213310000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-2 number, since 2×213310000² = 91002312200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (213310007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 829872 + ... + 830128.

Almost surely, 2^213310000 is an apocalyptic number.

213310000 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 213310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262350396).

213310000 is an abundant number, since it is smaller than the sum of its proper divisors (311390792).

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

213310000 is an equidigital number, since it uses as much as digits as its factorization.

213310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 213310000 is about 14605.1360828991. The cubic root of 213310000 is about 597.4988474736.

Adding to 213310000 its reverse (13312), we get a palindrome (213323312).

The spelling of 213310000 in words is "two hundred thirteen million, three hundred ten thousand".