13005105534 has 24 divisors (see below), whose sum is σ = 28225269072. Its totient is φ = 4327721280.

The previous prime is 13005105517. The next prime is 13005105569. The reversal of 13005105534 is 43550150031.

13005105534 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 = 13005105498 and 13005105507.

It is a congruent number.

It is an unprimeable number.

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, 598522 + ... + 619869.

It is an arithmetic number, because the mean of its divisors is an integer number (1176052878).

Almost surely, 2^13005105534 is an apocalyptic number.

13005105534 is an abundant number, since it is smaller than the sum of its proper divisors (15220163538).

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

13005105534 is a wasteful number, since it uses less digits than its factorization.

13005105534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218992 (or 1218989 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 13005105534 its reverse (43550150031), we get a palindrome (56555255565).

The spelling of 13005105534 in words is "thirteen billion, five million, one hundred five thousand, five hundred thirty-four".