213413200 has 360 divisors, whose sum is σ = 709079616. Its totient is φ = 59904000.

The previous prime is 213413119. The next prime is 213413201. The reversal of 213413200 is 2314312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213413201) 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 71 ways as a sum of consecutive naturals, for example, 5205180 + ... + 5205220.

Almost surely, 2^213413200 is an apocalyptic number.

213413200 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 213413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354539808).

213413200 is an abundant number, since it is smaller than the sum of its proper divisors (495666416).

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

213413200 is a wasteful number, since it uses less digits than its factorization.

213413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 213413200 is about 14608.6686593954. The cubic root of 213413200 is about 597.5951891667.

Adding to 213413200 its reverse (2314312), we get a palindrome (215727512).

The spelling of 213413200 in words is "two hundred thirteen million, four hundred thirteen thousand, two hundred".