13330102323120 has 640 divisors, whose sum is σ = 47551323663360. Its totient is φ = 3060172800000.

The previous prime is 13330102323119. The next prime is 13330102323137. The reversal of 13330102323120 is 2132320103331.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 127 ways as a sum of consecutive naturals, for example, 582063670 + ... + 582086570.

It is an arithmetic number, because the mean of its divisors is an integer number (74298943224).

Almost surely, 2^{13330102323120} is an apocalyptic number.

13330102323120 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 13330102323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23775661831680).

13330102323120 is an abundant number, since it is smaller than the sum of its proper divisors (34221221340240).

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

13330102323120 is a wasteful number, since it uses less digits than its factorization.

13330102323120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23125 (or 23119 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 13330102323120 its reverse (2132320103331), we get a palindrome (15462422426451).

The spelling of 13330102323120 in words is "thirteen trillion, three hundred thirty billion, one hundred two million, three hundred twenty-three thousand, one hundred twenty".