213130000 has 50 divisors (see below), whose sum is σ = 516033254. Its totient is φ = 85248000.

The previous prime is 213129979. The next prime is 213130031. The reversal of 213130000 is 31312.

It can be written as a sum of positive squares in 5 ways, for example, as 109579024 + 103550976 = 10468^2 + 10176^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 657 + ... + 20656.

Almost surely, 2^213130000 is an apocalyptic number.

213130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258016627).

213130000 is an abundant number, since it is smaller than the sum of its proper divisors (302903254).

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

213130000 is an equidigital number, since it uses as much as digits as its factorization.

213130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21341 (or 21320 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 213130000 is about 14598.9725665884. The cubic root of 213130000 is about 597.3307352450.

Adding to 213130000 its reverse (31312), we get a palindrome (213161312).

It can be divided in two parts, 2131 and 30000, that added together give a triangular number (32131 = T₂₅₃).

The spelling of 213130000 in words is "two hundred thirteen million, one hundred thirty thousand".