213126600 has 48 divisors (see below), whose sum is σ = 660694320. Its totient is φ = 56833600.

The previous prime is 213126587. The next prime is 213126607. The reversal of 213126600 is 6621312.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (213126607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177006 + ... + 178205.

It is an arithmetic number, because the mean of its divisors is an integer number (13764465).

Almost surely, 2^213126600 is an apocalyptic number.

213126600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213126600 is an abundant number, since it is smaller than the sum of its proper divisors (447567720).

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

213126600 is a wasteful number, since it uses less digits than its factorization.

213126600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355230 (or 355221 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 213126600 is about 14598.8561195732. The cubic root of 213126600 is about 597.3275588812.

Adding to 213126600 its reverse (6621312), we get a palindrome (219747912).

The spelling of 213126600 in words is "two hundred thirteen million, one hundred twenty-six thousand, six hundred".