210013320 has 128 divisors (see below), whose sum is σ = 690768000. Its totient is φ = 50657280.

The previous prime is 210013283. The next prime is 210013337. The reversal of 210013320 is 23310012.

It is a happy number.

It is a super-3 number, since 3×210013320³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 210013296 and 210013305.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513276 + ... + 513684.

It is an arithmetic number, because the mean of its divisors is an integer number (5396625).

Almost surely, 2^210013320 is an apocalyptic number.

210013320 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 210013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345384000).

210013320 is an abundant number, since it is smaller than the sum of its proper divisors (480754680).

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

210013320 is a wasteful number, since it uses less digits than its factorization.

210013320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 210013320 is about 14491.8363225645. The cubic root of 210013320 is about 594.4047621599.

Adding to 210013320 its reverse (23310012), we get a palindrome (233323332).

The spelling of 210013320 in words is "two hundred ten million, thirteen thousand, three hundred twenty".