213100232320 has 32 divisors (see below), whose sum is σ = 509442744420. Its totient is φ = 85240092672.

The previous prime is 213100232299. The next prime is 213100232369. The reversal of 213100232320 is 23232001312.

213100232320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 212609521216 + 490711104 = 461096^2 + 22152^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×213100232320³ (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 3 ways as a sum of consecutive naturals, for example, 166483917 + ... + 166485196.

Almost surely, 2^213100232320 is an apocalyptic number.

213100232320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213100232320 is an abundant number, since it is smaller than the sum of its proper divisors (296342512100).

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

213100232320 is an equidigital number, since it uses as much as digits as its factorization.

213100232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332969132 (or 332969120 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 213100232320 its reverse (23232001312), we get a palindrome (236332233632).

The spelling of 213100232320 in words is "two hundred thirteen billion, one hundred million, two hundred thirty-two thousand, three hundred twenty".