13320121010000 has 400 divisors, whose sum is σ = 39854891552256. Its totient is φ = 4206787584000.

The previous prime is 13320121009967. The next prime is 13320121010057. The reversal of 13320121010000 is 1012102331.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55810922 + ... + 56049078.

Almost surely, 2^{13320121010000} is an apocalyptic number.

13320121010000 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 13320121010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927445776128).

13320121010000 is an abundant number, since it is smaller than the sum of its proper divisors (26534770542256).

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

13320121010000 is a wasteful number, since it uses less digits than its factorization.

13320121010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238256 (or 238235 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13320121010000 its reverse (1012102331), we get a palindrome (13321133112331).

The spelling of 13320121010000 in words is "thirteen trillion, three hundred twenty billion, one hundred twenty-one million, ten thousand".