213431100 has 36 divisors (see below), whose sum is σ = 617528184. Its totient is φ = 56914880.

The previous prime is 213431087. The next prime is 213431111. The reversal of 213431100 is 1134312.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 213431100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 355419 + ... + 356018.

Almost surely, 2^213431100 is an apocalyptic number.

213431100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213431100 is an abundant number, since it is smaller than the sum of its proper divisors (404097084).

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

213431100 is a wasteful number, since it uses less digits than its factorization.

213431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711454 (or 711447 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 213431100 is about 14609.2812964909. The cubic root of 213431100 is about 597.6118964351.

Adding to 213431100 its reverse (1134312), we get a palindrome (214565412).

It can be divided in two parts, 213431 and 100, that added together give a triangular number (213531 = T₆₅₃).

The spelling of 213431100 in words is "two hundred thirteen million, four hundred thirty-one thousand, one hundred".