3133244423313 has 216 divisors, whose sum is σ = 5246778517344. Its totient is φ = 1794636518400.

The previous prime is 3133244423303. The next prime is 3133244423317.

3133244423313 is a `hidden beast` number, since 3 + 1 + 332 + 4 + 4 + 4 + 2 + 3 + 313 = 666.

3133244423313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3133244423313 - 2⁹ = 3133244422801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3133244423317) 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 215 ways as a sum of consecutive naturals, for example, 31022221963 + ... + 31022222063.

It is an arithmetic number, because the mean of its divisors is an integer number (24290641284).

Almost surely, 2^{3133244423313} is an apocalyptic number.

It is an amenable number.

3133244423313 is a deficient number, since it is larger than the sum of its proper divisors (2113534094031).

3133244423313 is a wasteful number, since it uses less digits than its factorization.

3133244423313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 290 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 3133244423313 in words is "three trillion, one hundred thirty-three billion, two hundred forty-four million, four hundred twenty-three thousand, three hundred thirteen".