212013130320 has 160 divisors (see below), whose sum is σ = 731606567040. Its totient is φ = 56433162240.

The previous prime is 212013130291. The next prime is 212013130327. The reversal of 212013130320 is 23031310212.

212013130320 is a `hidden beast` number, since 212 + 0 + 1 + 3 + 130 + 320 = 666.

212013130320 is digitally balanced in base 2, because in such base 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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 212013130293 and 212013130302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212013130327) 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 31 ways as a sum of consecutive naturals, for example, 1091800 + ... + 1271240.

It is an arithmetic number, because the mean of its divisors is an integer number (4572541044).

Almost surely, 2^212013130320 is an apocalyptic number.

212013130320 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 212013130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365803283520).

212013130320 is an abundant number, since it is smaller than the sum of its proper divisors (519593436720).

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

212013130320 is a wasteful number, since it uses less digits than its factorization.

212013130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180010 (or 179998 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 212013130320 its reverse (23031310212), we get a palindrome (235044440532).

The spelling of 212013130320 in words is "two hundred twelve billion, thirteen million, one hundred thirty thousand, three hundred twenty".