13101201012000 has 192 divisors, whose sum is σ = 42991210080000. Its totient is φ = 3487819212800.

The previous prime is 13101201011909. The next prime is 13101201012073. The reversal of 13101201012000 is 21010210131.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 31 ways as a sum of consecutive naturals, for example, 6276676 + ... + 8099324.

It is an arithmetic number, because the mean of its divisors is an integer number (223912552500).

Almost surely, 2^{13101201012000} is an apocalyptic number.

13101201012000 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 13101201012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21495605040000).

13101201012000 is an abundant number, since it is smaller than the sum of its proper divisors (29890009068000).

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

13101201012000 is a wasteful number, since it uses less digits than its factorization.

13101201012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823276 (or 1823258 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 13101201012000 its reverse (21010210131), we get a palindrome (13122211222131).

The spelling of 13101201012000 in words is "thirteen trillion, one hundred one billion, two hundred one million, twelve thousand".