13301032101000 has 1024 divisors, whose sum is σ = 51410283724800. Its totient is φ = 2793738240000.

The previous prime is 13301032100989. The next prime is 13301032101011. The reversal of 13301032101000 is 10123010331.

It is an interprime number because it is at equal distance from previous prime (13301032100989) and next prime (13301032101011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10084178341 + ... + 10084179659.

It is an arithmetic number, because the mean of its divisors is an integer number (50205355200).

Almost surely, 2^{13301032101000} is an apocalyptic number.

13301032101000 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 13301032101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25705141862400).

13301032101000 is an abundant number, since it is smaller than the sum of its proper divisors (38109251623800).

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

13301032101000 is a wasteful number, since it uses less digits than its factorization.

13301032101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2001 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 13301032101000 its reverse (10123010331), we get a palindrome (13311155111331).

The spelling of 13301032101000 in words is "thirteen trillion, three hundred one billion, thirty-two million, one hundred one thousand".