13024632320 has 320 divisors, whose sum is σ = 36957634560. Its totient is φ = 4310433792.

The previous prime is 13024632317. The next prime is 13024632353. The reversal of 13024632320 is 2323642031.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 13024632320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102556097 + ... + 102556223.

It is an arithmetic number, because the mean of its divisors is an integer number (115492608).

Almost surely, 2^13024632320 is an apocalyptic number.

13024632320 is a gapful number since it is divisible by the number (10) 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 13024632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18478817280).

13024632320 is an abundant number, since it is smaller than the sum of its proper divisors (23933002240).

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

13024632320 is an equidigital number, since it uses as much as digits as its factorization.

13024632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

The spelling of 13024632320 in words is "thirteen billion, twenty-four million, six hundred thirty-two thousand, three hundred twenty".