3132330332313 has 64 divisors (see below), whose sum is σ = 5306516106752. Its totient is φ = 1599233310720.

The previous prime is 3132330332251. The next prime is 3132330332317.

It is a happy number.

3132330332313 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3132330332313 - 2¹⁸ = 3132330070169 is a prime.

It is a super-2 number, since 2×3132330332313² (a number of 26 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3132330332317) 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 63 ways as a sum of consecutive naturals, for example, 1146123 + ... + 2752863.

It is an arithmetic number, because the mean of its divisors is an integer number (82914314168).

Almost surely, 2^{3132330332313} is an apocalyptic number.

It is an amenable number.

3132330332313 is a deficient number, since it is larger than the sum of its proper divisors (2174185774439).

3132330332313 is a wasteful number, since it uses less digits than its factorization.

3132330332313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606994.

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

It can be divided in two parts, 3132330 and 332313, that added together give a palindrome (3464643).

The spelling of 3132330332313 in words is "three trillion, one hundred thirty-two billion, three hundred thirty million, three hundred thirty-two thousand, three hundred thirteen".