213123330 has 192 divisors, whose sum is σ = 669247488. Its totient is φ = 46033920.

The previous prime is 213123319. The next prime is 213123331. The reversal of 213123330 is 33321312.

213123330 is a `hidden beast` number, since 21 + 312 + 3 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (213123331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 955599 + ... + 955821.

It is an arithmetic number, because the mean of its divisors is an integer number (3485664).

Almost surely, 2^213123330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213123330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334623744).

213123330 is an abundant number, since it is smaller than the sum of its proper divisors (456124158).

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

213123330 is a wasteful number, since it uses less digits than its factorization.

213123330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 213123330 is about 14598.7441240677. The cubic root of 213123330 is about 597.3245039346.

Adding to 213123330 its reverse (33321312), we get a palindrome (246444642).

It can be divided in two parts, 21312 and 3330, that added together give a palindrome (24642).

The spelling of 213123330 in words is "two hundred thirteen million, one hundred twenty-three thousand, three hundred thirty".