13033133202133 has 16 divisors (see below), whose sum is σ = 14573944611072. Its totient is φ = 11552017120000.

The previous prime is 13033133202119. The next prime is 13033133202209. The reversal of 13033133202133 is 33120233133031.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-13033133202133 is a prime.

It is a super-2 number, since 2×13033133202133² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13033133200133) 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 15 ways as a sum of consecutive naturals, for example, 8413768 + ... + 9841633.

It is an arithmetic number, because the mean of its divisors is an integer number (910871538192).

Almost surely, 2^{13033133202133} is an apocalyptic number.

It is an amenable number.

13033133202133 is a deficient number, since it is larger than the sum of its proper divisors (1540811408939).

13033133202133 is a wasteful number, since it uses less digits than its factorization.

13033133202133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18257036.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 13033133202133 its reverse (33120233133031), we get a palindrome (46153366335164).

The spelling of 13033133202133 in words is "thirteen trillion, thirty-three billion, one hundred thirty-three million, two hundred two thousand, one hundred thirty-three".