213130500 has 96 divisors (see below), whose sum is σ = 677109888. Its totient is φ = 51664000.

The previous prime is 213130499. The next prime is 213130501. The reversal of 213130500 is 5031312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213130499) and next prime (213130501).

It is a super-2 number, since 2×213130500² = 90849220060500000, which contains 22 as substring.

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 213130500.

It is not an unprimeable number, because it can be changed into a prime (213130501) 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 31 ways as a sum of consecutive naturals, for example, 10042 + ... + 22958.

It is an arithmetic number, because the mean of its divisors is an integer number (7053228).

Almost surely, 2^213130500 is an apocalyptic number.

213130500 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 213130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338554944).

213130500 is an abundant number, since it is smaller than the sum of its proper divisors (463979388).

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

213130500 is a wasteful number, since it uses less digits than its factorization.

213130500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12950 (or 12938 counting only the distinct ones).

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

The square root of 213130500 is about 14598.9896910711. The cubic root of 213130500 is about 597.3312023545.

Adding to 213130500 its reverse (5031312), we get a palindrome (218161812).

The spelling of 213130500 in words is "two hundred thirteen million, one hundred thirty thousand, five hundred".