13210320 has 80 divisors (see below), whose sum is σ = 43122240. Its totient is φ = 3336192.

The previous prime is 13210313. The next prime is 13210357. The reversal of 13210320 is 2301231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 13210296 and 13210305.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3112 + ... + 6008.

It is an arithmetic number, because the mean of its divisors is an integer number (539028).

Almost surely, 2^13210320 is an apocalyptic number.

13210320 is a gapful number since it is divisible by the number (10) 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 13210320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21561120).

13210320 is an abundant number, since it is smaller than the sum of its proper divisors (29911920).

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

13210320 is a wasteful number, since it uses less digits than its factorization.

13210320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2932 (or 2926 counting only the distinct ones).

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

The square root of 13210320 is about 3634.6003906895. The cubic root of 13210320 is about 236.3947239010.

Adding to 13210320 its reverse (2301231), we get a palindrome (15511551).

It can be divided in two parts, 13210 and 320, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 13210320 in words is "thirteen million, two hundred ten thousand, three hundred twenty".