213032310 has 128 divisors (see below), whose sum is σ = 558931968. Its totient is φ = 51840000.

The previous prime is 213032293. The next prime is 213032311. The reversal of 213032310 is 13230312.

It is a super-2 number, since 2×213032310² = 90765530207872200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 213032310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213032311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1410735 + ... + 1410885.

It is an arithmetic number, because the mean of its divisors is an integer number (4366656).

Almost surely, 2^213032310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213032310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279465984).

213032310 is an abundant number, since it is smaller than the sum of its proper divisors (345899658).

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

213032310 is a wasteful number, since it uses less digits than its factorization.

213032310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270.

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 213032310 is about 14595.6263997130. The cubic root of 213032310 is about 597.2394573749.

Adding to 213032310 its reverse (13230312), we get a palindrome (226262622).

The spelling of 213032310 in words is "two hundred thirteen million, thirty-two thousand, three hundred ten".