13300142024 has 64 divisors (see below), whose sum is σ = 27696816000. Its totient is φ = 5949296640.

The previous prime is 13300142021. The next prime is 13300142027. The reversal of 13300142024 is 42024100331.

It is an interprime number because it is at equal distance from previous prime (13300142021) and next prime (13300142027).

It is a junction number, because it is equal to n+sod(n) for n = 13300141987 and 13300142005.

It is not an unprimeable number, because it can be changed into a prime (13300142021) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 420392 + ... + 450920.

It is an arithmetic number, because the mean of its divisors is an integer number (432762750).

Almost surely, 2^13300142024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300142024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13848408000).

13300142024 is an abundant number, since it is smaller than the sum of its proper divisors (14396673976).

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

13300142024 is a wasteful number, since it uses less digits than its factorization.

13300142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30678 (or 30674 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 13300142024 its reverse (42024100331), we get a palindrome (55324242355).

The spelling of 13300142024 in words is "thirteen billion, three hundred million, one hundred forty-two thousand, twenty-four".