13121311 has 16 divisors (see below), whose sum is σ = 15681600. Its totient is φ = 10741248.

The previous prime is 13121309. The next prime is 13121327. The reversal of 13121311 is 11312131.

13121311 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13121311 - 2¹ = 13121309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13121291 and 13121300.

It is a congruent 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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21831 + ... + 22423.

It is an arithmetic number, because the mean of its divisors is an integer number (980100).

Almost surely, 2^13121311 is an apocalyptic number.

13121311 is a deficient number, since it is larger than the sum of its proper divisors (2560289).

13121311 is a wasteful number, since it uses less digits than its factorization.

13121311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738.

The product of its digits is 18, while the sum is 13.

The square root of 13121311 is about 3622.3350203978. The cubic root of 13121311 is about 235.8625971696.

Adding to 13121311 its reverse (11312131), we get a palindrome (24433442).

The spelling of 13121311 in words is "thirteen million, one hundred twenty-one thousand, three hundred eleven".