213323000 has 192 divisors, whose sum is σ = 575134560. Its totient is φ = 73920000.

The previous prime is 213322981. The next prime is 213323029. The reversal of 213323000 is 323312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4960979 + ... + 4961021.

Almost surely, 2^213323000 is an apocalyptic number.

213323000 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 213323000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287567280).

213323000 is an abundant number, since it is smaller than the sum of its proper divisors (361811560).

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

213323000 is a wasteful number, since it uses less digits than its factorization.

213323000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 213323000 is about 14605.5811250357. The cubic root of 213323000 is about 597.5109852500.

Adding to 213323000 its reverse (323312), we get a palindrome (213646312).

The spelling of 213323000 in words is "two hundred thirteen million, three hundred twenty-three thousand".