213311310 has 64 divisors (see below), whose sum is σ = 530786304. Its totient is φ = 54806400.

The previous prime is 213311221. The next prime is 213311311. The reversal of 213311310 is 13113312.

213311310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×213311310² = 91003429947832200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213311310.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213311311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322380 + ... + 323040.

It is an arithmetic number, because the mean of its divisors is an integer number (8293536).

Almost surely, 2^213311310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213311310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265393152).

213311310 is an abundant number, since it is smaller than the sum of its proper divisors (317474994).

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

213311310 is a wasteful number, since it uses less digits than its factorization.

213311310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049.

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 213311310 is about 14605.1809300672. The cubic root of 213311310 is about 597.5000706103.

Adding to 213311310 its reverse (13113312), we get a palindrome (226424622).

The spelling of 213311310 in words is "two hundred thirteen million, three hundred eleven thousand, three hundred ten".