13083210 has 96 divisors (see below), whose sum is σ = 40959360. Its totient is φ = 2830464.

The previous prime is 13083197. The next prime is 13083227. The reversal of 13083210 is 1238031.

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

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 11424 + ... + 12516.

It is an arithmetic number, because the mean of its divisors is an integer number (426660).

Almost surely, 2^13083210 is an apocalyptic number.

13083210 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 13083210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20479680).

13083210 is an abundant number, since it is smaller than the sum of its proper divisors (27876150).

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

13083210 is a wasteful number, since it uses less digits than its factorization.

13083210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1132 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 13083210 is about 3617.0720202949. The cubic root of 13083210 is about 235.6340805437.

The spelling of 13083210 in words is "thirteen million, eighty-three thousand, two hundred ten".