13131101331 has 24 divisors (see below), whose sum is σ = 19054967360. Its totient is φ = 8713623600.

The previous prime is 13131101323. The next prime is 13131101351. The reversal of 13131101331 is 13310113131.

13131101331 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13131101331 - 2³ = 13131101323 is a prime.

It is a super-2 number, since 2×13131101331² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13131101351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2055300 + ... + 2061678.

Almost surely, 2^13131101331 is an apocalyptic number.

13131101331 is a deficient number, since it is larger than the sum of its proper divisors (5923866029).

13131101331 is a wasteful number, since it uses less digits than its factorization.

13131101331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7407 (or 7404 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 13131101331 its reverse (13310113131), we get a palindrome (26441214462).

The spelling of 13131101331 in words is "thirteen billion, one hundred thirty-one million, one hundred one thousand, three hundred thirty-one".