13314805920 has 384 divisors, whose sum is σ = 50823521280. Its totient is φ = 3276370944.

The previous prime is 13314805901. The next prime is 13314805957. The reversal of 13314805920 is 2950841331.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4547497 + ... + 4550423.

It is an arithmetic number, because the mean of its divisors is an integer number (132352920).

Almost surely, 2^13314805920 is an apocalyptic number.

13314805920 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 13314805920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25411760640).

13314805920 is an abundant number, since it is smaller than the sum of its proper divisors (37508715360).

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

13314805920 is an equidigital number, since it uses as much as digits as its factorization.

13314805920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 13314805920 in words is "thirteen billion, three hundred fourteen million, eight hundred five thousand, nine hundred twenty".