13210000 has 50 divisors (see below), whose sum is σ = 32006942. Its totient is φ = 5280000.

The previous prime is 13209991. The next prime is 13210013. The reversal of 13210000 is 1231.

It can be written as a sum of positive squares in 5 ways, for example, as 2214144 + 10995856 = 1488^2 + 3316^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9340 + ... + 10660.

Almost surely, 2^13210000 is an apocalyptic number.

13210000 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 13210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16003471).

13210000 is an abundant number, since it is smaller than the sum of its proper divisors (18796942).

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

13210000 is an equidigital number, since it uses as much as digits as its factorization.

13210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 13210000 is about 3634.5563690772. The cubic root of 13210000 is about 236.3928151175.

Adding to 13210000 its reverse (1231), we get a palindrome (13211231).

The spelling of 13210000 in words is "thirteen million, two hundred ten thousand".