13300242432 has 96 divisors (see below), whose sum is σ = 35597802240. Its totient is φ = 4416020480.

The previous prime is 13300242419. The next prime is 13300242433. The reversal of 13300242432 is 23424200331.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300242433) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1611757 + ... + 1619987.

It is an arithmetic number, because the mean of its divisors is an integer number (370810440).

Almost surely, 2^13300242432 is an apocalyptic number.

13300242432 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 13300242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17798901120).

13300242432 is an abundant number, since it is smaller than the sum of its proper divisors (22297559808).

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

13300242432 is an equidigital number, since it uses as much as digits as its factorization.

13300242432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8519 (or 8499 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 13300242432 its reverse (23424200331), we get a palindrome (36724442763).

The spelling of 13300242432 in words is "thirteen billion, three hundred million, two hundred forty-two thousand, four hundred thirty-two".