13101101200000 has 192 divisors, whose sum is σ = 35588438756640. Its totient is φ = 4764035200000.

The previous prime is 13101101199997. The next prime is 13101101200087. The reversal of 13101101200000 is 210110131.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 13101101200000.

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 23 ways as a sum of consecutive naturals, for example, 2911239 + ... + 5888761.

Almost surely, 2^{13101101200000} is an apocalyptic number.

13101101200000 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 13101101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17794219378320).

13101101200000 is an abundant number, since it is smaller than the sum of its proper divisors (22487337556640).

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

13101101200000 is an frugal number, since it uses more digits than its factorization.

13101101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2977573 (or 2977541 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 13101101200000 its reverse (210110131), we get a palindrome (13101311310131).

The spelling of 13101101200000 in words is "thirteen trillion, one hundred one billion, one hundred one million, two hundred thousand".