13005130613064 has 64 divisors (see below), whose sum is σ = 33142755147840. Its totient is φ = 4251134434560.

The previous prime is 13005130613029. The next prime is 13005130613081. The reversal of 13005130613064 is 46031603150031.

13005130613064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15934 + ... + 5100050.

It is an arithmetic number, because the mean of its divisors is an integer number (517855549185).

Almost surely, 2^{13005130613064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13005130613064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16571377573920).

13005130613064 is an abundant number, since it is smaller than the sum of its proper divisors (20137624534776).

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

13005130613064 is a wasteful number, since it uses less digits than its factorization.

13005130613064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5086190 (or 5086186 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

Adding to 13005130613064 its reverse (46031603150031), we get a palindrome (59036733763095).

The spelling of 13005130613064 in words is "thirteen trillion, five billion, one hundred thirty million, six hundred thirteen thousand, sixty-four".