213351168 has 72 divisors (see below), whose sum is σ = 574838208. Its totient is φ = 70239232.

The previous prime is 213351161. The next prime is 213351179. The reversal of 213351168 is 861153312.

213351168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (213351161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62071 + ... + 65417.

It is an arithmetic number, because the mean of its divisors is an integer number (7983864).

Almost surely, 2^213351168 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 213351168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287419104).

213351168 is an abundant number, since it is smaller than the sum of its proper divisors (361487040).

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

213351168 is an equidigital number, since it uses as much as digits as its factorization.

213351168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3449 (or 3435 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 213351168 is about 14606.5453821224. The cubic root of 213351168 is about 597.5372833186.

It can be divided in two parts, 2133 and 51168, that added together give a triangular number (53301 = T₃₂₆).

The spelling of 213351168 in words is "two hundred thirteen million, three hundred fifty-one thousand, one hundred sixty-eight".