13301103130000 has 400 divisors, whose sum is σ = 37690600147200. Its totient is φ = 4451376384000.

The previous prime is 13301103129991. The next prime is 13301103130001. The reversal of 13301103130000 is 3130110331.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (13301103130001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 730860901 + ... + 730879099.

It is an arithmetic number, because the mean of its divisors is an integer number (94226500368).

Almost surely, 2^{13301103130000} is an apocalyptic number.

13301103130000 is a gapful number since it is divisible by the number (10) 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 13301103130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18845300073600).

13301103130000 is an abundant number, since it is smaller than the sum of its proper divisors (24389497017200).

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

13301103130000 is a wasteful number, since it uses less digits than its factorization.

13301103130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18484 (or 18463 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 13301103130000 its reverse (3130110331), we get a palindrome (13304233240331).

The spelling of 13301103130000 in words is "thirteen trillion, three hundred one billion, one hundred three million, one hundred thirty thousand".