13315201 has 9 divisors (see below), whose sum is σ = 13802953. Its totient is φ = 12844480.

The previous prime is 13315193. The next prime is 13315223. The reversal of 13315201 is 10251331.

The square root of 13315201 is 3649.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8116801 + 5198400 = 2849^2 + 2280^2 .

It is not a de Polignac number, because 13315201 - 2³ = 13315193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13315271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 149565 + ... + 149653.

Almost surely, 2^13315201 is an apocalyptic number.

13315201 is the 3649-th square number.

13315201 is the 1825-th centered octagonal number.

It is an amenable number.

13315201 is a deficient number, since it is larger than the sum of its proper divisors (487752).

13315201 is an frugal number, since it uses more digits than its factorization.

13315201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The cubic root of 13315201 is about 237.0186802441.

Multiplying 13315201 by its sum of digits (16), we get a square (213043216 = 14596²).

Adding to 13315201 its reverse (10251331), we get a palindrome (23566532).

The spelling of 13315201 in words is "thirteen million, three hundred fifteen thousand, two hundred one".