3331003131313 has 32 divisors (see below), whose sum is σ = 3968106129792. Its totient is φ = 2756155507200.

The previous prime is 3331003131307. The next prime is 3331003131329. The reversal of 3331003131313 is 3131313001333.

It is a cyclic number.

It is not a de Polignac number, because 3331003131313 - 2⁹ = 3331003130801 is a prime.

It is a super-2 number, since 2×3331003131313² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3331003138313) 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 31 ways as a sum of consecutive naturals, for example, 37337506 + ... + 37426612.

It is an arithmetic number, because the mean of its divisors is an integer number (124003316556).

Almost surely, 2^{3331003131313} is an apocalyptic number.

It is an amenable number.

3331003131313 is a deficient number, since it is larger than the sum of its proper divisors (637102998479).

3331003131313 is a wasteful number, since it uses less digits than its factorization.

3331003131313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92785.

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

Adding to 3331003131313 its reverse (3131313001333), we get a palindrome (6462316132646).

The spelling of 3331003131313 in words is "three trillion, three hundred thirty-one billion, three million, one hundred thirty-one thousand, three hundred thirteen".