13301333121120 has 192 divisors, whose sum is σ = 46943575370496. Its totient is φ = 3137415137280.

The previous prime is 13301333121113. The next prime is 13301333121161. The reversal of 13301333121120 is 2112133310331.

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

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 31 ways as a sum of consecutive naturals, for example, 33847774 + ... + 34238493.

It is an arithmetic number, because the mean of its divisors is an integer number (244497788388).

Almost surely, 2^{13301333121120} is an apocalyptic number.

13301333121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13301333121120 is an abundant number, since it is smaller than the sum of its proper divisors (33642242249376).

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

13301333121120 is a wasteful number, since it uses less digits than its factorization.

13301333121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68086333 (or 68086325 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 13301333121120 its reverse (2112133310331), we get a palindrome (15413466431451).

The spelling of 13301333121120 in words is "thirteen trillion, three hundred one billion, three hundred thirty-three million, one hundred twenty-one thousand, one hundred twenty".