13313507328 has 456 divisors, whose sum is σ = 45801712320. Its totient is φ = 3822059520.

The previous prime is 13313507323. The next prime is 13313507387. The reversal of 13313507328 is 82370531331.

13313507328 is a `hidden beast` number, since 13 + 313 + 5 + 0 + 7 + 328 = 666.

It is a tau number, because it is divible by the number of its divisors (456).

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 13313507292 and 13313507301.

It is not an unprimeable number, because it can be changed into a prime (13313507323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 700710903 + ... + 700710921.

Almost surely, 2^13313507328 is an apocalyptic number.

13313507328 is a gapful number since it is divisible by the number (18) 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 13313507328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900856160).

13313507328 is an abundant number, since it is smaller than the sum of its proper divisors (32488204992).

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

13313507328 is an frugal number, since it uses more digits than its factorization.

13313507328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 13313507328 in words is "thirteen billion, three hundred thirteen million, five hundred seven thousand, three hundred twenty-eight".