213211000302300 has 2304 divisors, whose sum is σ = 982759499366400. Its totient is φ = 38211264000000.

The previous prime is 213211000302277. The next prime is 213211000302317. The reversal of 213211000302300 is 3203000112312.

213211000302300 is a `hidden beast` number, since 2 + 1 + 321 + 10 + 0 + 0 + 30 + 2 + 300 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2429683425 + ... + 2429771175.

It is an arithmetic number, because the mean of its divisors is an integer number (426544921600).

Almost surely, 2^{213211000302300} is an apocalyptic number.

213211000302300 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 213211000302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491379749683200).

213211000302300 is an abundant number, since it is smaller than the sum of its proper divisors (769548499064100).

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

213211000302300 is a wasteful number, since it uses less digits than its factorization.

213211000302300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87865 (or 87852 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 213211000302300 its reverse (3203000112312), we get a palindrome (216414000414612).

The spelling of 213211000302300 in words is "two hundred thirteen trillion, two hundred eleven billion, three hundred two thousand, three hundred".