13218810 has 64 divisors (see below), whose sum is σ = 35489664. Its totient is φ = 3123200.

The previous prime is 13218743. The next prime is 13218823. The reversal of 13218810 is 1881231.

It is a super-2 number, since 2×13218810² = 349473875632200, which contains 22 as substring.

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, 13042 + ... + 14018.

It is an arithmetic number, because the mean of its divisors is an integer number (554526).

Almost surely, 2^13218810 is an apocalyptic number.

13218810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13218810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17744832).

13218810 is an abundant number, since it is smaller than the sum of its proper divisors (22270854).

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

13218810 is a wasteful number, since it uses less digits than its factorization.

13218810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1039.

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 13218810 is about 3635.7681444229. The cubic root of 13218810 is about 236.4453550593.

It can be divided in two parts, 13218 and 810, that added together give a triangular number (14028 = T₁₆₇).

The spelling of 13218810 in words is "thirteen million, two hundred eighteen thousand, eight hundred ten".