213320413248 has 224 divisors, whose sum is σ = 597025658880. Its totient is φ = 67089285120.

The previous prime is 213320413177. The next prime is 213320413301. The reversal of 213320413248 is 842314023312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102507568 + ... + 102509648.

It is an arithmetic number, because the mean of its divisors is an integer number (2665293120).

Almost surely, 2^213320413248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213320413248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298512829440).

213320413248 is an abundant number, since it is smaller than the sum of its proper divisors (383705245632).

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

213320413248 is a wasteful number, since it uses less digits than its factorization.

213320413248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2415 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 213320413248 in words is "two hundred thirteen billion, three hundred twenty million, four hundred thirteen thousand, two hundred forty-eight".