13211264 has 48 divisors (see below), whose sum is σ = 28963410. Its totient is φ = 5998080.

The previous prime is 13211243. The next prime is 13211267. The reversal of 13211264 is 46211231.

It can be written as a sum of positive squares in only one way, i.e., 13017664 + 193600 = 3608^2 + 440^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13211267) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15062 + ... + 15914.

Almost surely, 2^13211264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13211264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14481705).

13211264 is an abundant number, since it is smaller than the sum of its proper divisors (15752146).

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

13211264 is an equidigital number, since it uses as much as digits as its factorization.

13211264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 866 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 13211264 is about 3634.7302513392. The cubic root of 13211264 is about 236.4003546327.

Adding to 13211264 its reverse (46211231), we get a palindrome (59422495).

The spelling of 13211264 in words is "thirteen million, two hundred eleven thousand, two hundred sixty-four".