213311008 has 48 divisors (see below), whose sum is σ = 442736280. Its totient is φ = 101011456.

The previous prime is 213310949. The next prime is 213311011. The reversal of 213311008 is 800113312.

213311008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 144288144 + 69022864 = 12012^2 + 8308^2 .

It is a super-2 number, since 2×213311008² = 91003172267952128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47016 + ... + 51352.

Almost surely, 2^213311008 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 213311008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221368140).

213311008 is an abundant number, since it is smaller than the sum of its proper divisors (229425272).

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

213311008 is a wasteful number, since it uses less digits than its factorization.

213311008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4429 (or 4421 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 213311008 is about 14605.1705912666. The cubic root of 213311008 is about 597.4997886357.

The spelling of 213311008 in words is "two hundred thirteen million, three hundred eleven thousand, eight".