13333023120120 has 192 divisors, whose sum is σ = 43979047096320. Its totient is φ = 3231282912000.

The previous prime is 13333023120119. The next prime is 13333023120167. The reversal of 13333023120120 is 2102132033331.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49101925 + ... + 49372715.

It is an arithmetic number, because the mean of its divisors is an integer number (229057536960).

Almost surely, 2^{13333023120120} is an apocalyptic number.

13333023120120 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 13333023120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21989523548160).

13333023120120 is an abundant number, since it is smaller than the sum of its proper divisors (30646023976200).

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

13333023120120 is a wasteful number, since it uses less digits than its factorization.

13333023120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274218 (or 274203 counting only the distinct ones).

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

Adding to 13333023120120 its reverse (2102132033331), we get a palindrome (15435155153451).

The spelling of 13333023120120 in words is "thirteen trillion, three hundred thirty-three billion, twenty-three million, one hundred twenty thousand, one hundred twenty".