13330301200104 has 256 divisors, whose sum is σ = 42171684065280. Its totient is φ = 3421320376320.

The previous prime is 13330301199979. The next prime is 13330301200157. The reversal of 13330301200104 is 40100210303331.

It is a super-2 number, since 2×13330301200104² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30062067 + ... + 30502269.

It is an arithmetic number, because the mean of its divisors is an integer number (164733140880).

Almost surely, 2^{13330301200104} is an apocalyptic number.

13330301200104 is a gapful number since it is divisible by the number (14) 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 13330301200104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21085842032640).

13330301200104 is an abundant number, since it is smaller than the sum of its proper divisors (28841382865176).

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

13330301200104 is a wasteful number, since it uses less digits than its factorization.

13330301200104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440720 (or 440716 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13330301200104 its reverse (40100210303331), we get a palindrome (53430511503435).

The spelling of 13330301200104 in words is "thirteen trillion, three hundred thirty billion, three hundred one million, two hundred thousand, one hundred four".