331013301001013 has 2 divisors, whose sum is σ = 331013301001014. Its totient is φ = 331013301001012.

The previous prime is 331013301001001. The next prime is 331013301001043. The reversal of 331013301001013 is 310100103310133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 250757897903569 + 80255403097444 = 15835337^2 + 8958538^2 .

It is a cyclic number.

It is not a de Polignac number, because 331013301001013 - 2²⁸ = 331013032565557 is a prime.

It is a super-4 number, since 4×331013301001013⁴ (a number of 59 digits) contains 4444 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331013301001043) 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 as a sum of consecutive naturals, namely, 165506650500506 + 165506650500507.

It is an arithmetic number, because the mean of its divisors is an integer number (165506650500507).

Almost surely, 2^{331013301001013} is an apocalyptic number.

It is an amenable number.

331013301001013 is a deficient number, since it is larger than the sum of its proper divisors (1).

331013301001013 is an equidigital number, since it uses as much as digits as its factorization.

331013301001013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 331013301001013 its reverse (310100103310133), we get a palindrome (641113404311146).

The spelling of 331013301001013 in words is "three hundred thirty-one trillion, thirteen billion, three hundred one million, one thousand, thirteen".