13121361 has 18 divisors (see below), whose sum is σ = 20834450. Its totient is φ = 7951680.

The previous prime is 13121341. The next prime is 13121371. The reversal of 13121361 is 16312131.

It can be written as a sum of positive squares in only one way, i.e., 12006225 + 1115136 = 3465^2 + 1056^2 .

It is not a de Polignac number, because 13121361 - 2¹⁰ = 13120337 is a prime.

It is a super-2 number, since 2×13121361² = 344340228984642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13121341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4936 + ... + 7113.

Almost surely, 2^13121361 is an apocalyptic number.

13121361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13121361 is a deficient number, since it is larger than the sum of its proper divisors (7713089).

13121361 is a wasteful number, since it uses less digits than its factorization.

13121361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12077 (or 12063 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 13121361 is about 3622.3419220167. The cubic root of 13121361 is about 235.8628967615.

Adding to 13121361 its reverse (16312131), we get a palindrome (29433492).

The spelling of 13121361 in words is "thirteen million, one hundred twenty-one thousand, three hundred sixty-one".