13000130000208 has 640 divisors, whose sum is σ = 45830766643200. Its totient is φ = 3483634065408.

The previous prime is 13000130000197. The next prime is 13000130000233. The reversal of 13000130000208 is 80200003100031.

It is a super-4 number, since 4×13000130000208⁴ (a number of 54 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 77917291 + ... + 78083957.

It is an arithmetic number, because the mean of its divisors is an integer number (71610572880).

Almost surely, 2^{13000130000208} is an apocalyptic number.

13000130000208 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13000130000208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22915383321600).

13000130000208 is an abundant number, since it is smaller than the sum of its proper divisors (32830636642992).

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

13000130000208 is a wasteful number, since it uses less digits than its factorization.

13000130000208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166776 (or 166764 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13000130000208 its reverse (80200003100031), we get a palindrome (93200133100239).

The spelling of 13000130000208 in words is "thirteen trillion, one hundred thirty million, two hundred eight", and thus it is an aban number.