213320132123100 has 144 divisors (see below), whose sum is σ = 667249999516800. Its totient is φ = 52434877374720.

The previous prime is 213320132123083. The next prime is 213320132123143. The reversal of 213320132123100 is 1321231023312.

213320132123100 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 2×213320132123100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 505526730 + ... + 505948529.

It is an arithmetic number, because the mean of its divisors is an integer number (4633680552200).

Almost surely, 2^{213320132123100} is an apocalyptic number.

213320132123100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213320132123100 is an abundant number, since it is smaller than the sum of its proper divisors (453929867393700).

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

213320132123100 is a wasteful number, since it uses less digits than its factorization.

213320132123100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011475332 (or 1011475325 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 213320132123100 its reverse (1321231023312), we get a palindrome (214641363146412).

The spelling of 213320132123100 in words is "two hundred thirteen trillion, three hundred twenty billion, one hundred thirty-two million, one hundred twenty-three thousand, one hundred".