3133304033313 has 64 divisors (see below), whose sum is σ = 4325619916800. Its totient is φ = 2016192384000.

The previous prime is 3133304033291. The next prime is 3133304033317.

3133304033313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3133304033313 - 2⁹ = 3133304032801 is a prime.

It is a super-3 number, since 3×3133304033313³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3133304033317) 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 63 ways as a sum of consecutive naturals, for example, 4239923898 + ... + 4239924636.

It is an arithmetic number, because the mean of its divisors is an integer number (67587811200).

Almost surely, 2^{3133304033313} is an apocalyptic number.

It is an amenable number.

3133304033313 is a deficient number, since it is larger than the sum of its proper divisors (1192315883487).

3133304033313 is a wasteful number, since it uses less digits than its factorization.

3133304033313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774.

The product of its (nonzero) digits is 26244, while the sum is 30.

The spelling of 3133304033313 in words is "three trillion, one hundred thirty-three billion, three hundred four million, thirty-three thousand, three hundred thirteen".