13101331200000 has 288 divisors, whose sum is σ = 43657711821360. Its totient is φ = 3493683200000.

The previous prime is 13101331199993. The next prime is 13101331200031. The reversal of 13101331200000 is 213310131.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 18858820 + ... + 19541180.

Almost surely, 2^{13101331200000} is an apocalyptic number.

13101331200000 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 13101331200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21828855910680).

13101331200000 is an abundant number, since it is smaller than the sum of its proper divisors (30556380621360).

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

13101331200000 is an frugal number, since it uses more digits than its factorization.

13101331200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682411 (or 682371 counting only the distinct ones).

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

Adding to 13101331200000 its reverse (213310131), we get a palindrome (13101544510131).

The spelling of 13101331200000 in words is "thirteen trillion, one hundred one billion, three hundred thirty-one million, two hundred thousand".