13331201002133 has 16 divisors (see below), whose sum is σ = 16037643141120. Its totient is φ = 10825263184176.

The previous prime is 13331201002117. The next prime is 13331201002211. The reversal of 13331201002133 is 33120010213331.

It is not a de Polignac number, because 13331201002133 - 2⁴ = 13331201002117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13331201002099 and 13331201002108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13331201004133) 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 15 ways as a sum of consecutive naturals, for example, 29029916 + ... + 29485562.

It is an arithmetic number, because the mean of its divisors is an integer number (1002352696320).

Almost surely, 2^{13331201002133} is an apocalyptic number.

It is an amenable number.

13331201002133 is a deficient number, since it is larger than the sum of its proper divisors (2706442138987).

13331201002133 is a wasteful number, since it uses less digits than its factorization.

13331201002133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675656.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 13331201002133 its reverse (33120010213331), we get a palindrome (46451211215464).

The spelling of 13331201002133 in words is "thirteen trillion, three hundred thirty-one billion, two hundred one million, two thousand, one hundred thirty-three".