13330122032133 has 12 divisors (see below), whose sum is σ = 19724245609068. Its totient is φ = 8669998069440.

The previous prime is 13330122032107. The next prime is 13330122032137. The reversal of 13330122032133 is 33123022103331.

13330122032133 is a `hidden beast` number, since 1 + 3 + 3 + 301 + 2 + 2 + 0 + 321 + 33 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 260899273089 + 13069222759044 = 510783^2 + 3615138^2 .

It is not a de Polignac number, because 13330122032133 - 2⁹ = 13330122031621 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13330122032097 and 13330122032106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13330122032137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18062495610 + ... + 18062496347.

It is an arithmetic number, because the mean of its divisors is an integer number (1643687134089).

Almost surely, 2^{13330122032133} is an apocalyptic number.

It is an amenable number.

13330122032133 is a deficient number, since it is larger than the sum of its proper divisors (6394123576935).

13330122032133 is a wasteful number, since it uses less digits than its factorization.

13330122032133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36124992004 (or 36124992001 counting only the distinct ones).

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

Adding to 13330122032133 its reverse (33123022103331), we get a palindrome (46453144135464).

The spelling of 13330122032133 in words is "thirteen trillion, three hundred thirty billion, one hundred twenty-two million, thirty-two thousand, one hundred thirty-three".