13133134134 has 96 divisors (see below), whose sum is σ = 31757806080. Its totient is φ = 3898043136.

The previous prime is 13133134129. The next prime is 13133134139. The reversal of 13133134134 is 43143133131.

13133134134 is a `hidden beast` number, since 1 + 313 + 3 + 1 + 341 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (13133134129) and next prime (13133134139).

It is a junction number, because it is equal to n+sod(n) for n = 13133134098 and 13133134107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133134139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7109599 + ... + 7111445.

It is an arithmetic number, because the mean of its divisors is an integer number (330810480).

Almost surely, 2^13133134134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13133134134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15878903040).

13133134134 is an abundant number, since it is smaller than the sum of its proper divisors (18624671946).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13133134134 is a wasteful number, since it uses less digits than its factorization.

13133134134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3111 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 13133134134 its reverse (43143133131), we get a palindrome (56276267265).

The spelling of 13133134134 in words is "thirteen billion, one hundred thirty-three million, one hundred thirty-four thousand, one hundred thirty-four".