13300531152 has 80 divisors (see below), whose sum is σ = 35506060800. Its totient is φ = 4285900800.

The previous prime is 13300531151. The next prime is 13300531177. The reversal of 13300531152 is 25113500331.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300531151) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1556652 + ... + 1565172.

It is an arithmetic number, because the mean of its divisors is an integer number (443825760).

Almost surely, 2^13300531152 is an apocalyptic number.

13300531152 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 13300531152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17753030400).

13300531152 is an abundant number, since it is smaller than the sum of its proper divisors (22205529648).

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

13300531152 is a wasteful number, since it uses less digits than its factorization.

13300531152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9612 (or 9606 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The spelling of 13300531152 in words is "thirteen billion, three hundred million, five hundred thirty-one thousand, one hundred fifty-two".