13005000064 has 32 divisors (see below), whose sum is σ = 29609600400. Its totient is φ = 5573571072.

The previous prime is 13005000031. The next prime is 13005000097. The reversal of 13005000064 is 46000050031.

It is an interprime number because it is at equal distance from previous prime (13005000031) and next prime (13005000097).

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7256359 + ... + 7258150.

Almost surely, 2^13005000064 is an apocalyptic number.

13005000064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13005000064 is an abundant number, since it is smaller than the sum of its proper divisors (16604600336).

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

13005000064 is an equidigital number, since it uses as much as digits as its factorization.

13005000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14514530 (or 14514518 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 13005000064 its reverse (46000050031), we get a palindrome (59005050095).

The spelling of 13005000064 in words is "thirteen billion, five million, sixty-four", and thus it is an aban number.