213032100 has 72 divisors (see below), whose sum is σ = 652645728. Its totient is φ = 53465600.

The previous prime is 213032089. The next prime is 213032101. The reversal of 213032100 is 1230312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (213032101) 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 23 ways as a sum of consecutive naturals, for example, 15786 + ... + 25985.

It is an arithmetic number, because the mean of its divisors is an integer number (9064524).

Almost surely, 2^213032100 is an apocalyptic number.

213032100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213032100 is an abundant number, since it is smaller than the sum of its proper divisors (439613628).

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

213032100 is a wasteful number, since it uses less digits than its factorization.

213032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41805 (or 41798 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213032100 is about 14595.6192057754. The cubic root of 213032100 is about 597.2392611288.

Adding to 213032100 its reverse (1230312), we get a palindrome (214262412).

The spelling of 213032100 in words is "two hundred thirteen million, thirty-two thousand, one hundred".