13133122311303 has 24 divisors (see below), whose sum is σ = 18983248315200. Its totient is φ = 8749331550144.

The previous prime is 13133122311251. The next prime is 13133122311329. The reversal of 13133122311303 is 30311322133131.

13133122311303 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 312 + 2 + 311 + 30 + 3 = 666.

It is not a de Polignac number, because 13133122311303 - 2³⁸ = 12858244404359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13133122111303) 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 23 ways as a sum of consecutive naturals, for example, 183806301 + ... + 183877737.

It is an arithmetic number, because the mean of its divisors is an integer number (790968679800).

Almost surely, 2^{13133122311303} is an apocalyptic number.

13133122311303 is a deficient number, since it is larger than the sum of its proper divisors (5850126003897).

13133122311303 is a wasteful number, since it uses less digits than its factorization.

13133122311303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85351 (or 85348 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 13133122311303 its reverse (30311322133131), we get a palindrome (43444444444434).

The spelling of 13133122311303 in words is "thirteen trillion, one hundred thirty-three billion, one hundred twenty-two million, three hundred eleven thousand, three hundred three".