13006034334 has 48 divisors (see below), whose sum is σ = 28813824000. Its totient is φ = 4238861328.

The previous prime is 13006034333. The next prime is 13006034339. The reversal of 13006034334 is 43343060031.

13006034334 is a `hidden beast` number, since 13 + 0 + 0 + 603 + 43 + 3 + 4 = 666.

13006034334 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13006034298 and 13006034307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13006034333) 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, 102067 + ... + 190865.

It is an arithmetic number, because the mean of its divisors is an integer number (600288000).

Almost surely, 2^13006034334 is an apocalyptic number.

13006034334 is an abundant number, since it is smaller than the sum of its proper divisors (15807789666).

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

13006034334 is a wasteful number, since it uses less digits than its factorization.

13006034334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88989 (or 88986 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 13006034334 its reverse (43343060031), we get a palindrome (56349094365).

The spelling of 13006034334 in words is "thirteen billion, six million, thirty-four thousand, three hundred thirty-four".