13000333131 has 12 divisors (see below), whose sum is σ = 18856180200. Its totient is φ = 8630925120.

The previous prime is 13000333123. The next prime is 13000333133. The reversal of 13000333131 is 13133300031.

13000333131 is a `hidden beast` number, since 1 + 300 + 0 + 3 + 331 + 31 = 666.

13000333131 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 13000333131 - 2³ = 13000333123 is a prime.

It is a super-3 number, since 3×13000333131³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (13000333133) 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 11 ways as a sum of consecutive naturals, for example, 2994681 + ... + 2999018.

It is an arithmetic number, because the mean of its divisors is an integer number (1571348350).

Almost surely, 2^13000333131 is an apocalyptic number.

13000333131 is a deficient number, since it is larger than the sum of its proper divisors (5855847069).

13000333131 is a wasteful number, since it uses less digits than its factorization.

13000333131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993946 (or 5993943 counting only the distinct ones).

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

Adding to 13000333131 its reverse (13133300031), we get a palindrome (26133633162).

The spelling of 13000333131 in words is "thirteen billion, three hundred thirty-three thousand, one hundred thirty-one".