13130321424 has 160 divisors (see below), whose sum is σ = 38115179520. Its totient is φ = 3860006400.

The previous prime is 13130321423. The next prime is 13130321437. The reversal of 13130321424 is 42412303131.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 13130321394 and 13130321403.

It is not an unprimeable number, because it can be changed into a prime (13130321423) 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 31 ways as a sum of consecutive naturals, for example, 8575539 + ... + 8577069.

It is an arithmetic number, because the mean of its divisors is an integer number (238219872).

Almost surely, 2^13130321424 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 13130321424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19057589760).

13130321424 is an abundant number, since it is smaller than the sum of its proper divisors (24984858096).

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

13130321424 is a wasteful number, since it uses less digits than its factorization.

13130321424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2029 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13130321424 its reverse (42412303131), we get a palindrome (55542624555).

The spelling of 13130321424 in words is "thirteen billion, one hundred thirty million, three hundred twenty-one thousand, four hundred twenty-four".