13004612320 has 192 divisors, whose sum is σ = 37079078400. Its totient is φ = 4210513920.

The previous prime is 13004612239. The next prime is 13004612353. The reversal of 13004612320 is 2321640031.

It is a junction number, because it is equal to n+sod(n) for n = 13004612291 and 13004612300.

It is a congruent number.

It is an unprimeable number.

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, 8277135 + ... + 8278705.

It is an arithmetic number, because the mean of its divisors is an integer number (193120200).

Almost surely, 2^13004612320 is an apocalyptic number.

13004612320 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 13004612320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18539539200).

13004612320 is an abundant number, since it is smaller than the sum of its proper divisors (24074466080).

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

13004612320 is a wasteful number, since it uses less digits than its factorization.

13004612320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1993 counting only the distinct ones).

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

The spelling of 13004612320 in words is "thirteen billion, four million, six hundred twelve thousand, three hundred twenty".