3133146413313 has 144 divisors (see below), whose sum is σ = 5388374871360. Its totient is φ = 1748796521472.

The previous prime is 3133146413291. The next prime is 3133146413321.

3133146413313 is a `hidden beast` number, since 3 + 1 + 3 + 3 + 1 + 4 + 641 + 3 + 3 + 1 + 3 = 666.

3133146413313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3133146413313 - 2²⁰ = 3133145364737 is a prime.

It is a super-2 number, since 2×3133146413313² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3133146413363) 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 143 ways as a sum of consecutive naturals, for example, 3647434278 + ... + 3647435136.

It is an arithmetic number, because the mean of its divisors is an integer number (37419269940).

Almost surely, 2^{3133146413313} is an apocalyptic number.

It is an amenable number.

3133146413313 is a deficient number, since it is larger than the sum of its proper divisors (2255228458047).

3133146413313 is a wasteful number, since it uses less digits than its factorization.

3133146413313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1906 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The spelling of 3133146413313 in words is "three trillion, one hundred thirty-three billion, one hundred forty-six million, four hundred thirteen thousand, three hundred thirteen".