13133101131 has 80 divisors (see below), whose sum is σ = 21636426240. Its totient is φ = 7901815680.

The previous prime is 13133101073. The next prime is 13133101139. The reversal of 13133101131 is 13110133131.

13133101131 is a `hidden beast` number, since 1 + 313 + 310 + 11 + 31 = 666.

13133101131 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 13133101131 - 2⁹ = 13133100619 is a prime.

It is a super-2 number, since 2×13133101131² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13133101139) 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 79 ways as a sum of consecutive naturals, for example, 11007871 + ... + 11009063.

It is an arithmetic number, because the mean of its divisors is an integer number (270455328).

Almost surely, 2^13133101131 is an apocalyptic number.

13133101131 is a deficient number, since it is larger than the sum of its proper divisors (8503325109).

13133101131 is a wasteful number, since it uses less digits than its factorization.

13133101131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 1549 counting only the distinct ones).

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

Adding to 13133101131 its reverse (13110133131), we get a palindrome (26243234262).

The spelling of 13133101131 in words is "thirteen billion, one hundred thirty-three million, one hundred one thousand, one hundred thirty-one".