13213300 has 36 divisors (see below), whose sum is σ = 28847980. Its totient is φ = 5253120.

The previous prime is 13213297. The next prime is 13213327. The reversal of 13213300 is 331231.

It can be written as a sum of positive squares in 6 ways, for example, as 2702736 + 10510564 = 1644^2 + 3242^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22612 + ... + 23188.

Almost surely, 2^13213300 is an apocalyptic number.

13213300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13213300 is an abundant number, since it is smaller than the sum of its proper divisors (15634680).

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

13213300 is a wasteful number, since it uses less digits than its factorization.

13213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 13213300 is about 3635.0103163540. The cubic root of 13213300 is about 236.4124979674.

Adding to 13213300 its reverse (331231), we get a palindrome (13544531).

The spelling of 13213300 in words is "thirteen million, two hundred thirteen thousand, three hundred".