3133160613313 has 32 divisors (see below), whose sum is σ = 3340861200000. Its totient is φ = 2928160972800.

The previous prime is 3133160613307. The next prime is 3133160613329.

It is a happy number.

3133160613313 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 3133160613313 - 2¹³ = 3133160605121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3133160613353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2090166438 + ... + 2090167936.

It is an arithmetic number, because the mean of its divisors is an integer number (104401912500).

Almost surely, 2^{3133160613313} is an apocalyptic number.

It is an amenable number.

3133160613313 is a deficient number, since it is larger than the sum of its proper divisors (207700586687).

3133160613313 is a wasteful number, since it uses less digits than its factorization.

3133160613313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3105.

The product of its (nonzero) digits is 26244, while the sum is 34.

It can be divided in two parts, 3133160 and 613313, that added together give a palindrome (3746473).

The spelling of 3133160613313 in words is "three trillion, one hundred thirty-three billion, one hundred sixty million, six hundred thirteen thousand, three hundred thirteen".