13020733152 has 288 divisors, whose sum is σ = 44734667040. Its totient is φ = 3719229696.

The previous prime is 13020733147. The next prime is 13020733163. The reversal of 13020733152 is 25133702031.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3427318 + ... + 3431114.

It is an arithmetic number, because the mean of its divisors is an integer number (155328705).

Almost surely, 2^13020733152 is an apocalyptic number.

13020733152 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 13020733152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22367333520).

13020733152 is an abundant number, since it is smaller than the sum of its proper divisors (31713933888).

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

13020733152 is an frugal number, since it uses more digits than its factorization.

13020733152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 13020733152 in words is "thirteen billion, twenty million, seven hundred thirty-three thousand, one hundred fifty-two".