213150210 has 128 divisors (see below), whose sum is σ = 634798080. Its totient is φ = 44603136.

The previous prime is 213150209. The next prime is 213150211. The reversal of 213150210 is 12051312.

It is an interprime number because it is at equal distance from previous prime (213150209) and next prime (213150211).

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

It is a self number, because there is not a number n which added to its sum of digits gives 213150210.

It is not an unprimeable number, because it can be changed into a prime (213150211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 444751 + ... + 445229.

It is an arithmetic number, because the mean of its divisors is an integer number (4959360).

Almost surely, 2^213150210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213150210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317399040).

213150210 is an abundant number, since it is smaller than the sum of its proper divisors (421647870).

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

213150210 is a wasteful number, since it uses less digits than its factorization.

213150210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 213150210 is about 14599.6647221777. The cubic root of 213150210 is about 597.3496152285.

The spelling of 213150210 in words is "two hundred thirteen million, one hundred fifty thousand, two hundred ten".