213138880320 has 224 divisors, whose sum is σ = 714079100160. Its totient is φ = 53754511360.

The previous prime is 213138880267. The next prime is 213138880391. The reversal of 213138880320 is 23088831312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1910890 + ... + 2019350.

Almost surely, 2^213138880320 is an apocalyptic number.

213138880320 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 213138880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357039550080).

213138880320 is an abundant number, since it is smaller than the sum of its proper divisors (500940219840).

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

213138880320 is a wasteful number, since it uses less digits than its factorization.

213138880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108593 (or 108583 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 213138880320 in words is "two hundred thirteen billion, one hundred thirty-eight million, eight hundred eighty thousand, three hundred twenty".