13300323120 has 480 divisors, whose sum is σ = 54193531392. Its totient is φ = 2968068096.

The previous prime is 13300323119. The next prime is 13300323143. The reversal of 13300323120 is 2132300331.

13300323120 is a `hidden beast` number, since 1 + 330 + 0 + 323 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13300323093 and 13300323102.

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, 5850304 + ... + 5852576.

Almost surely, 2^13300323120 is an apocalyptic number.

13300323120 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 13300323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27096765696).

13300323120 is an abundant number, since it is smaller than the sum of its proper divisors (40893208272).

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

13300323120 is a wasteful number, since it uses less digits than its factorization.

13300323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2351 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 13300323120 its reverse (2132300331), we get a palindrome (15432623451).

The spelling of 13300323120 in words is "thirteen billion, three hundred million, three hundred twenty-three thousand, one hundred twenty".