24013130120320 has 128 divisors (see below), whose sum is σ = 62629910337600. Its totient is φ = 8731383828480.

The previous prime is 24013130120293. The next prime is 24013130120333. The reversal of 24013130120320 is 2302103131042.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 24013130120291 and 24013130120300.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97782646 + ... + 98027914.

Almost surely, 2^{24013130120320} is an apocalyptic number.

24013130120320 is a gapful number since it is divisible by the number (20) 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 24013130120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31314955168800).

24013130120320 is an abundant number, since it is smaller than the sum of its proper divisors (38616780217280).

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

24013130120320 is a wasteful number, since it uses less digits than its factorization.

24013130120320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259206 (or 259194 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 24013130120320 its reverse (2302103131042), we get a palindrome (26315233251362).

The spelling of 24013130120320 in words is "twenty-four trillion, thirteen billion, one hundred thirty million, one hundred twenty thousand, three hundred twenty".