13300300133100 has 108 divisors (see below), whose sum is σ = 42372479116240. Its totient is φ = 3488603299200.

The previous prime is 13300300132997. The next prime is 13300300133129. The reversal of 13300300133100 is 133100300331.

13300300133100 is a `hidden beast` number, since 1 + 3 + 30 + 0 + 300 + 1 + 331 + 0 + 0 = 666.

13300300133100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13300300133100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121077160 + ... + 121186959.

Almost surely, 2^{13300300133100} is an apocalyptic number.

13300300133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13300300133100 is an abundant number, since it is smaller than the sum of its proper divisors (29072178983140).

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

13300300133100 is a wasteful number, since it uses less digits than its factorization.

13300300133100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242264200 (or 242264190 counting only the distinct ones).

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

Adding to 13300300133100 its reverse (133100300331), we get a palindrome (13433400433431).

The spelling of 13300300133100 in words is "thirteen trillion, three hundred billion, three hundred million, one hundred thirty-three thousand, one hundred".