13330101112133 has 32 divisors (see below), whose sum is σ = 15055751854080. Its totient is φ = 11709986238720.

The previous prime is 13330101112117. The next prime is 13330101112157. The reversal of 13330101112133 is 33121110103331.

It is a cyclic number.

It is not a de Polignac number, because 13330101112133 - 2⁴ = 13330101112117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13330101112099 and 13330101112108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330101118133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113892503 + ... + 114009483.

It is an arithmetic number, because the mean of its divisors is an integer number (470492245440).

Almost surely, 2^{13330101112133} is an apocalyptic number.

13330101112133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13330101112133 is a deficient number, since it is larger than the sum of its proper divisors (1725650741947).

13330101112133 is a wasteful number, since it uses less digits than its factorization.

13330101112133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118949.

The product of its (nonzero) digits is 486, while the sum is 23.

Adding to 13330101112133 its reverse (33121110103331), we get a palindrome (46451211215464).

The spelling of 13330101112133 in words is "thirteen trillion, three hundred thirty billion, one hundred one million, one hundred twelve thousand, one hundred thirty-three".