13001500032100 has 72 divisors (see below), whose sum is σ = 28555275657888. Its totient is φ = 5137563974400.

The previous prime is 13001500032043. The next prime is 13001500032107. The reversal of 13001500032100 is 123000510031.

It is not an unprimeable number, because it can be changed into a prime (13001500032107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 130517512 + ... + 130617088.

It is an arithmetic number, because the mean of its divisors is an integer number (396601050804).

Almost surely, 2^{13001500032100} is an apocalyptic number.

13001500032100 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 13001500032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14277637828944).

13001500032100 is an abundant number, since it is smaller than the sum of its proper divisors (15553775625788).

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

13001500032100 is a wasteful number, since it uses less digits than its factorization.

13001500032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115405 (or 115398 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

Adding to 13001500032100 its reverse (123000510031), we get a palindrome (13124500542131).

The spelling of 13001500032100 in words is "thirteen trillion, one billion, five hundred million, thirty-two thousand, one hundred".