213262121184 has 96 divisors (see below), whose sum is σ = 660424697856. Its totient is φ = 58966479360.

The previous prime is 213262121183. The next prime is 213262121213. The reversal of 213262121184 is 481121262312.

213262121184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213262121183) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5097787 + ... + 5139450.

It is an arithmetic number, because the mean of its divisors is an integer number (6879423936).

Almost surely, 2^213262121184 is an apocalyptic number.

213262121184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213262121184 is an abundant number, since it is smaller than the sum of its proper divisors (447162576672).

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

213262121184 is a wasteful number, since it uses less digits than its factorization.

213262121184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10237288 (or 10237280 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

Adding to 213262121184 its reverse (481121262312), we get a palindrome (694383383496).

The spelling of 213262121184 in words is "two hundred thirteen billion, two hundred sixty-two million, one hundred twenty-one thousand, one hundred eighty-four".