213040128 has 88 divisors (see below), whose sum is σ = 649013632. Its totient is φ = 60862464.

The previous prime is 213040127. The next prime is 213040171. The reversal of 213040128 is 821040312.

It is a super-3 number, since 3×213040128³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213040123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16551 + ... + 26457.

Almost surely, 2^213040128 is an apocalyptic number.

213040128 is a gapful number since it is divisible by the number (28) 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 213040128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324506816).

213040128 is an abundant number, since it is smaller than the sum of its proper divisors (435973504).

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

213040128 is an equidigital number, since it uses as much as digits as its factorization.

213040128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9937 (or 9919 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 213040128 is about 14595.8942172105. The cubic root of 213040128 is about 597.2467632479.

The spelling of 213040128 in words is "two hundred thirteen million, forty thousand, one hundred twenty-eight".