13001500120000 has 560 divisors, whose sum is σ = 39331755809280. Its totient is φ = 4163443200000.

The previous prime is 13001500119973. The next prime is 13001500120031. The reversal of 13001500120000 is 2100510031.

It is a tau number, because it is divible by the number of its divisors (560).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 377702790 + ... + 377737210.

Almost surely, 2^{13001500120000} is an apocalyptic number.

13001500120000 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 13001500120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19665877904640).

13001500120000 is an abundant number, since it is smaller than the sum of its proper divisors (26330255689280).

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

13001500120000 is an equidigital number, since it uses as much as digits as its factorization.

13001500120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34550 (or 34525 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

Adding to 13001500120000 its reverse (2100510031), we get a palindrome (13003600630031).

The spelling of 13001500120000 in words is "thirteen trillion, one billion, five hundred million, one hundred twenty thousand".