213308334 has 48 divisors (see below), whose sum is σ = 479291904. Its totient is φ = 68490000.

The previous prime is 213308323. The next prime is 213308351. The reversal of 213308334 is 433803312.

213308334 is a `hidden beast` number, since 21 + 3 + 308 + 334 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213308298 and 213308307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139297 + ... + 140819.

It is an arithmetic number, because the mean of its divisors is an integer number (9985248).

Almost surely, 2^213308334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213308334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239645952).

213308334 is an abundant number, since it is smaller than the sum of its proper divisors (265983570).

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

213308334 is a wasteful number, since it uses less digits than its factorization.

213308334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 213308334 is about 14605.0790480572. The cubic root of 213308334 is about 597.4972919352.

The spelling of 213308334 in words is "two hundred thirteen million, three hundred eight thousand, three hundred thirty-four".