13302121020000 has 240 divisors, whose sum is σ = 43926489961200. Its totient is φ = 3523422976000.

The previous prime is 13302121019987. The next prime is 13302121020031. The reversal of 13302121020000 is 2012120331.

It is a tau number, because it is divible by the number of its divisors (240).

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 39 ways as a sum of consecutive naturals, for example, 8196034 + ... + 9683966.

It is an arithmetic number, because the mean of its divisors is an integer number (183027041505).

Almost surely, 2^{13302121020000} is an apocalyptic number.

13302121020000 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 13302121020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21963244980600).

13302121020000 is an abundant number, since it is smaller than the sum of its proper divisors (30624368941200).

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

13302121020000 is a wasteful number, since it uses less digits than its factorization.

13302121020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1488115 (or 1488092 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 13302121020000 its reverse (2012120331), we get a palindrome (13304133140331).

The spelling of 13302121020000 in words is "thirteen trillion, three hundred two billion, one hundred twenty-one million, twenty thousand".