13300133130 has 96 divisors (see below), whose sum is σ = 34960273920. Its totient is φ = 3507857280.

The previous prime is 13300133089. The next prime is 13300133137. The reversal of 13300133130 is 3133100331.

13300133130 is a `hidden beast` number, since 1 + 3 + 300 + 1 + 331 + 30 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13300133137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8465245 + ... + 8466815.

It is an arithmetic number, because the mean of its divisors is an integer number (364169520).

Almost surely, 2^13300133130 is an apocalyptic number.

13300133130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300133130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17480136960).

13300133130 is an abundant number, since it is smaller than the sum of its proper divisors (21660140790).

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

13300133130 is a wasteful number, since it uses less digits than its factorization.

13300133130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2556 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 18.

Adding to 13300133130 its reverse (3133100331), we get a palindrome (16433233461).

The spelling of 13300133130 in words is "thirteen billion, three hundred million, one hundred thirty-three thousand, one hundred thirty".