213128998368 has 384 divisors, whose sum is σ = 709107001344. Its totient is φ = 55047782400.

The previous prime is 213128998307. The next prime is 213128998387. The reversal of 213128998368 is 863899821312.

It is a super-3 number, since 3×213128998368³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12360313 + ... + 12377543.

It is an arithmetic number, because the mean of its divisors is an integer number (1846632816).

Almost surely, 2^213128998368 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 213128998368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354553500672).

213128998368 is an abundant number, since it is smaller than the sum of its proper divisors (495978002976).

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

213128998368 is a wasteful number, since it uses less digits than its factorization.

213128998368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17338 (or 17330 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 60.

The spelling of 213128998368 in words is "two hundred thirteen billion, one hundred twenty-eight million, nine hundred ninety-eight thousand, three hundred sixty-eight".