13002906320 has 80 divisors (see below), whose sum is σ = 31323352320. Its totient is φ = 5013926400.

The previous prime is 13002906317. The next prime is 13002906359. The reversal of 13002906320 is 2360920031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 13002906320.

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 15 ways as a sum of consecutive naturals, for example, 1599065 + ... + 1607175.

It is an arithmetic number, because the mean of its divisors is an integer number (391541904).

Almost surely, 2^13002906320 is an apocalyptic number.

13002906320 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 13002906320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15661676160).

13002906320 is an abundant number, since it is smaller than the sum of its proper divisors (18320446000).

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

13002906320 is a wasteful number, since it uses less digits than its factorization.

13002906320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8844 (or 8838 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

The spelling of 13002906320 in words is "thirteen billion, two million, nine hundred six thousand, three hundred twenty".