13330120032 has 288 divisors, whose sum is σ = 40238505216. Its totient is φ = 4180377600.

The previous prime is 13330119937. The next prime is 13330120033. The reversal of 13330120032 is 23002103331.

13330120032 is a `hidden beast` number, since 133 + 301 + 200 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13330119987 and 13330120014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330120033) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73646982 + ... + 73647162.

It is an arithmetic number, because the mean of its divisors is an integer number (139717032).

Almost surely, 2^13330120032 is an apocalyptic number.

13330120032 is a gapful number since it is divisible by the number (12) 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 13330120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20119252608).

13330120032 is an abundant number, since it is smaller than the sum of its proper divisors (26908385184).

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

13330120032 is a wasteful number, since it uses less digits than its factorization.

13330120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13330120032 its reverse (23002103331), we get a palindrome (36332223363).

The spelling of 13330120032 in words is "thirteen billion, three hundred thirty million, one hundred twenty thousand, thirty-two".