213329900 has 36 divisors (see below), whose sum is σ = 529059888. Its totient is φ = 73141440.

The previous prime is 213329881. The next prime is 213329903. The reversal of 213329900 is 9923312.

It is not an unprimeable number, because it can be changed into a prime (213329903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151679 + ... + 153078.

It is an arithmetic number, because the mean of its divisors is an integer number (14696108).

Almost surely, 2^213329900 is an apocalyptic number.

213329900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213329900 is an abundant number, since it is smaller than the sum of its proper divisors (315729988).

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

213329900 is a wasteful number, since it uses less digits than its factorization.

213329900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304778 (or 304771 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 213329900 is about 14605.8173341994. The cubic root of 213329900 is about 597.5174274079.

The spelling of 213329900 in words is "two hundred thirteen million, three hundred twenty-nine thousand, nine hundred".