213310032 has 80 divisors (see below), whose sum is σ = 609544320. Its totient is φ = 63853056.

The previous prime is 213310021. The next prime is 213310037. The reversal of 213310032 is 230013312.

213310032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 213309993 and 213310020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213310037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18469 + ... + 27707.

It is an arithmetic number, because the mean of its divisors is an integer number (7619304).

Almost surely, 2^213310032 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 213310032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304772160).

213310032 is an abundant number, since it is smaller than the sum of its proper divisors (396234288).

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

213310032 is a wasteful number, since it uses less digits than its factorization.

213310032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9300 (or 9294 counting only the distinct ones).

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

The square root of 213310032 is about 14605.1371784040. The cubic root of 213310032 is about 597.4988773518.

Adding to 213310032 its reverse (230013312), we get a palindrome (443323344).

The spelling of 213310032 in words is "two hundred thirteen million, three hundred ten thousand, thirty-two".