210013300 has 72 divisors (see below), whose sum is σ = 526841280. Its totient is φ = 71174400.

The previous prime is 210013283. The next prime is 210013337. The reversal of 210013300 is 3310012.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 60615 + ... + 63985.

It is an arithmetic number, because the mean of its divisors is an integer number (7317240).

Almost surely, 2^210013300 is an apocalyptic number.

210013300 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 210013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263420640).

210013300 is an abundant number, since it is smaller than the sum of its proper divisors (316827980).

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

210013300 is a wasteful number, since it uses less digits than its factorization.

210013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3481 (or 3474 counting only the distinct ones).

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

The square root of 210013300 is about 14491.8356325208. The cubic root of 210013300 is about 594.4047432911.

Adding to 210013300 its reverse (3310012), we get a palindrome (213323312).

It can be divided in two parts, 2100 and 13300, that added together give a triangular number (15400 = T₁₇₅).

The spelling of 210013300 in words is "two hundred ten million, thirteen thousand, three hundred".