213133331100 has 72 divisors (see below), whose sum is σ = 633332446768. Its totient is φ = 55299456000.

The previous prime is 213133331069. The next prime is 213133331111. The reversal of 213133331100 is 1133331312.

213133331100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×213133331100³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9589501 + ... + 9611700.

Almost surely, 2^213133331100 is an apocalyptic number.

213133331100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213133331100 is an abundant number, since it is smaller than the sum of its proper divisors (420199115668).

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

213133331100 is a wasteful number, since it uses less digits than its factorization.

213133331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19201255 (or 19201248 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 213133331100 its reverse (1133331312), we get a palindrome (214266662412).

The spelling of 213133331100 in words is "two hundred thirteen billion, one hundred thirty-three million, three hundred thirty-one thousand, one hundred".