213232312100 has 72 divisors (see below), whose sum is σ = 475751383296. Its totient is φ = 82905120000.

The previous prime is 213232312099. The next prime is 213232312133. The reversal of 213232312100 is 1213232312.

213232312100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1015145 + ... + 1207055.

Almost surely, 2^213232312100 is an apocalyptic number.

213232312100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213232312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237875691648).

213232312100 is an abundant number, since it is smaller than the sum of its proper divisors (262519071196).

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

213232312100 is a wasteful number, since it uses less digits than its factorization.

213232312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192237 (or 192230 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 213232312100 its reverse (1213232312), we get a palindrome (214445544412).

The spelling of 213232312100 in words is "two hundred thirteen billion, two hundred thirty-two million, three hundred twelve thousand, one hundred".