213300150 has 96 divisors (see below), whose sum is σ = 624150528. Its totient is φ = 47174400.

The previous prime is 213300149. The next prime is 213300151. The reversal of 213300150 is 51003312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213300149) and next prime (213300151).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213300151) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 29274 + ... + 35826.

It is an arithmetic number, because the mean of its divisors is an integer number (6501568).

Almost surely, 2^213300150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213300150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312075264).

213300150 is an abundant number, since it is smaller than the sum of its proper divisors (410850378).

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

213300150 is a wasteful number, since it uses less digits than its factorization.

213300150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6606 (or 6601 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 213300150 is about 14604.7988688650. The cubic root of 213300150 is about 597.4896504454.

Adding to 213300150 its reverse (51003312), we get a palindrome (264303462).

The spelling of 213300150 in words is "two hundred thirteen million, three hundred thousand, one hundred fifty".