1313103330133 has 32 divisors (see below), whose sum is σ = 1569327851520. Its totient is φ = 1074936408000.

The previous prime is 1313103330083. The next prime is 1313103330157. The reversal of 1313103330133 is 3310333013131.

It is not a de Polignac number, because 1313103330133 - 2²⁵ = 1313069775701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1313103330098 and 1313103330107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313103330433) 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 31 ways as a sum of consecutive naturals, for example, 8191038 + ... + 8349808.

It is an arithmetic number, because the mean of its divisors is an integer number (49041495360).

Almost surely, 2^{1313103330133} is an apocalyptic number.

It is an amenable number.

1313103330133 is a deficient number, since it is larger than the sum of its proper divisors (256224521387).

1313103330133 is a wasteful number, since it uses less digits than its factorization.

1313103330133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159249.

The product of its (nonzero) digits is 2187, while the sum is 25.

Adding to 1313103330133 its reverse (3310333013131), we get a palindrome (4623436343264).

The spelling of 1313103330133 in words is "one trillion, three hundred thirteen billion, one hundred three million, three hundred thirty thousand, one hundred thirty-three".