213132100 has 18 divisors (see below), whose sum is σ = 462496874. Its totient is φ = 85252800.

The previous prime is 213132091. The next prime is 213132137. The reversal of 213132100 is 1231312.

It can be written as a sum of positive squares in 3 ways, for example, as 33732864 + 179399236 = 5808^2 + 13394^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1065561 + ... + 1065760.

Almost surely, 2^213132100 is an apocalyptic number.

213132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213132100 is an abundant number, since it is smaller than the sum of its proper divisors (249364774).

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

213132100 is a wasteful number, since it uses less digits than its factorization.

213132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131335 (or 2131328 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 213132100 is about 14599.0444892808. The cubic root of 213132100 is about 597.3326971000.

Adding to 213132100 its reverse (1231312), we get a palindrome (214363412).

The spelling of 213132100 in words is "two hundred thirteen million, one hundred thirty-two thousand, one hundred".