213181128 has 48 divisors (see below), whose sum is σ = 578455020. Its totient is φ = 70926336.

The previous prime is 213181127. The next prime is 213181187. The reversal of 213181128 is 821181312.

It can be written as a sum of positive squares in 2 ways, for example, as 213101604 + 79524 = 14598^2 + 282^2 .

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 (213181123) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 40200 + ... + 45192.

Almost surely, 2^213181128 is an apocalyptic number.

It is an amenable number.

213181128 is an abundant number, since it is smaller than the sum of its proper divisors (365273892).

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

213181128 is a wasteful number, since it uses less digits than its factorization.

213181128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5598 (or 5591 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 213181128 is about 14600.7235437152. The cubic root of 213181128 is about 597.3784962110.

The spelling of 213181128 in words is "two hundred thirteen million, one hundred eighty-one thousand, one hundred twenty-eight".