13211

13211 is a prime number. It is the 1548th prime number. In base 10, it is read as thirteen thousand, two hundred eleven. The sum of its digits is 1 + 3 + 2 + 1 + 1 = 8. It is an odd number.

13211 has no common factors with any other number besides 1 and itself. This property of being divisible only by 1 and itself is the definition of a prime number. It is not a perfect square or a perfect cube. Its nearest prime neighbors are 13207 and 13217.

The number 13211 can be expressed as the sum of two squares in two different ways: 13211 = 37^2 + 106^2 and 13211 = 82^2 + 89^2. This is a property of numbers that are congruent to 1 modulo 4, and 13211 mod 4 = 3, so this statement is incorrect. Actually, 13211 mod 4 = 3, and thus it cannot be expressed as the sum of two squares according to Fermat's theorem on sums of two squares.

Further mathematical properties of 13211 could be explored through number theory, such as its role in specific sequences or its representation in different bases. However, as a standalone integer, its primary characteristic is its primality.