13331331 has 32 divisors (see below), whose sum is σ = 22400000. Its totient is φ = 7768224.

The previous prime is 13331309. The next prime is 13331411. The reversal of 13331331 is 13313331.

13331331 is a `hidden beast` number, since 1 + 3 + 331 + 331 = 666.

It is not a de Polignac number, because 13331331 - 2⁵ = 13331299 is a prime.

It is a super-2 number, since 2×13331331² = 355448772463122, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331231) 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 31 ways as a sum of consecutive naturals, for example, 5670 + ... + 7668.

It is an arithmetic number, because the mean of its divisors is an integer number (700000).

Almost surely, 2^13331331 is an apocalyptic number.

13331331 is a deficient number, since it is larger than the sum of its proper divisors (9068669).

13331331 is a wasteful number, since it uses less digits than its factorization.

13331331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2040 (or 2034 counting only the distinct ones).

The product of its digits is 243, while the sum is 18.

The square root of 13331331 is about 3651.2095256230. The cubic root of 13331331 is about 237.1143495617.

Adding to 13331331 its reverse (13313331), we get a palindrome (26644662).

The spelling of 13331331 in words is "thirteen million, three hundred thirty-one thousand, three hundred thirty-one".