213132321100 has 36 divisors (see below), whose sum is σ = 462754328008. Its totient is φ = 85205520000.

The previous prime is 213132321071. The next prime is 213132321113. The reversal of 213132321100 is 1123231312.

213132321100 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-3 number, since 3×213132321100³ (a number of 35 digits) contains 333 as substring.

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 11 ways as a sum of consecutive naturals, for example, 411606 + ... + 771805.

Almost surely, 2^213132321100 is an apocalyptic number.

213132321100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213132321100 is an abundant number, since it is smaller than the sum of its proper divisors (249622006908).

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

213132321100 is a wasteful number, since it uses less digits than its factorization.

213132321100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185226 (or 1185219 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 213132321100 its reverse (1123231312), we get a palindrome (214255552412).

The spelling of 213132321100 in words is "two hundred thirteen billion, one hundred thirty-two million, three hundred twenty-one thousand, one hundred".