13005340135212 has 96 divisors (see below), whose sum is σ = 31170671824320. Its totient is φ = 4217858334720.

The previous prime is 13005340135129. The next prime is 13005340135237. The reversal of 13005340135212 is 21253104350031.

It is a self number, because there is not a number n which added to its sum of digits gives 13005340135212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 573694614 + ... + 573717282.

It is an arithmetic number, because the mean of its divisors is an integer number (324694498170).

Almost surely, 2^{13005340135212} is an apocalyptic number.

13005340135212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13005340135212 is an abundant number, since it is smaller than the sum of its proper divisors (18165331689108).

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

13005340135212 is a wasteful number, since it uses less digits than its factorization.

13005340135212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25843 (or 25841 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 13005340135212 its reverse (21253104350031), we get a palindrome (34258444485243).

The spelling of 13005340135212 in words is "thirteen trillion, five billion, three hundred forty million, one hundred thirty-five thousand, two hundred twelve".