13311331 has 16 divisors (see below), whose sum is σ = 14950368. Its totient is φ = 11848320.

The previous prime is 13311317. The next prime is 13311349.

13311331 is nontrivially palindromic in base 10.

13311331 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 13311331 - 2⁹ = 13310819 is a prime.

It is a super-2 number, since 2×13311331² = 354383065983122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13311301) 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, 97095 + ... + 97231.

It is an arithmetic number, because the mean of its divisors is an integer number (934398).

Almost surely, 2^13311331 is an apocalyptic number.

13311331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13311331 is a deficient number, since it is larger than the sum of its proper divisors (1639037).

13311331 is an equidigital number, since it uses as much as digits as its factorization.

13311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 221 counting only the distinct ones).

The product of its digits is 81, while the sum is 16.

The square root of 13311331 is about 3648.4696791943. The cubic root of 13311331 is about 236.9957152341.

It can be divided in two parts, 1331 and 1331, that added together give a palindrome (2662).

The spelling of 13311331 in words is "thirteen million, three hundred eleven thousand, three hundred thirty-one".