13149820320 has 576 divisors, whose sum is σ = 53716763520. Its totient is φ = 2676989952.

The previous prime is 13149820289. The next prime is 13149820361. The reversal of 13149820320 is 2302894131.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8866299 + ... + 8867781.

It is an arithmetic number, because the mean of its divisors is an integer number (93258270).

Almost surely, 2^13149820320 is an apocalyptic number.

13149820320 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 13149820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26858381760).

13149820320 is an abundant number, since it is smaller than the sum of its proper divisors (40566943200).

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

13149820320 is a wasteful number, since it uses less digits than its factorization.

13149820320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 13149820320 in words is "thirteen billion, one hundred forty-nine million, eight hundred twenty thousand, three hundred twenty".