13005535105 has 8 divisors (see below), whose sum is σ = 15609732264. Its totient is φ = 10402368000.

The previous prime is 13005535097. The next prime is 13005535129. The reversal of 13005535105 is 50153550031.

It can be written as a sum of positive squares in 4 ways, for example, as 129413376 + 12876121729 = 11376^2 + 113473^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 13005535105 - 2³ = 13005535097 is a prime.

It is a super-2 number, since 2×13005535105² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229456 + ... + 280465.

It is an arithmetic number, because the mean of its divisors is an integer number (1951216533).

Almost surely, 2^13005535105 is an apocalyptic number.

It is an amenable number.

13005535105 is a deficient number, since it is larger than the sum of its proper divisors (2604197159).

13005535105 is an equidigital number, since it uses as much as digits as its factorization.

13005535105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515027.

The product of its (nonzero) digits is 5625, while the sum is 28.

The spelling of 13005535105 in words is "thirteen billion, five million, five hundred thirty-five thousand, one hundred five".