213323400 has 144 divisors (see below), whose sum is σ = 739714560. Its totient is φ = 55036800.

The previous prime is 213323399. The next prime is 213323401. The reversal of 213323400 is 4323312.

It is an interprime number because it is at equal distance from previous prime (213323399) and next prime (213323401).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213323401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 53889 + ... + 57711.

Almost surely, 2^213323400 is an apocalyptic number.

213323400 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 213323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369857280).

213323400 is an abundant number, since it is smaller than the sum of its proper divisors (526391160).

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

213323400 is a wasteful number, since it uses less digits than its factorization.

213323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3876 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 213323400 is about 14605.5948184249. The cubic root of 213323400 is about 597.5113587122.

Adding to 213323400 its reverse (4323312), we get a palindrome (217646712).

The spelling of 213323400 in words is "two hundred thirteen million, three hundred twenty-three thousand, four hundred".