213633100 has 36 divisors (see below), whose sum is σ = 471454200. Its totient is φ = 84002560.

The previous prime is 213633023. The next prime is 213633149. The reversal of 213633100 is 1336312.

213633100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213633100² = 91278202831220000, which contains 22 as substring.

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, 12205 + ... + 24004.

It is an arithmetic number, because the mean of its divisors is an integer number (13095950).

Almost surely, 2^213633100 is an apocalyptic number.

213633100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213633100 is an abundant number, since it is smaller than the sum of its proper divisors (257821100).

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

213633100 is a wasteful number, since it uses less digits than its factorization.

213633100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36282 (or 36275 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 213633100 is about 14616.1930748058. The cubic root of 213633100 is about 597.8003718401.

Adding to 213633100 its reverse (1336312), we get a palindrome (214969412).

The spelling of 213633100 in words is "two hundred thirteen million, six hundred thirty-three thousand, one hundred".