13332122300133 has 96 divisors (see below), whose sum is σ = 24981467696640. Its totient is φ = 6661723461120.

The previous prime is 13332122300093. The next prime is 13332122300143. The reversal of 13332122300133 is 33100322123331.

13332122300133 is a `hidden beast` number, since 1 + 3 + 3 + 321 + 2 + 2 + 300 + 1 + 33 = 666.

It is not a de Polignac number, because 13332122300133 - 2⁶ = 13332122300069 is a prime.

It is a super-3 number, since 3×13332122300133³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13332122300097 and 13332122300106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13332122300143) 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 95 ways as a sum of consecutive naturals, for example, 4036753 + ... + 6554358.

It is an arithmetic number, because the mean of its divisors is an integer number (260223621840).

Almost surely, 2^{13332122300133} is an apocalyptic number.

13332122300133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

13332122300133 is a deficient number, since it is larger than the sum of its proper divisors (11649345396507).

13332122300133 is a wasteful number, since it uses less digits than its factorization.

13332122300133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10591219 (or 10591216 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13332122300133 its reverse (33100322123331), we get a palindrome (46432444423464).

The spelling of 13332122300133 in words is "thirteen trillion, three hundred thirty-two billion, one hundred twenty-two million, three hundred thousand, one hundred thirty-three".