331002000013 has 2 divisors, whose sum is σ = 331002000014. Its totient is φ = 331002000012.

The previous prime is 331001999987. The next prime is 331002000083. The reversal of 331002000013 is 310000200133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 256195920964 + 74806079049 = 506158^2 + 273507^2 .

It is a cyclic number.

It is not a de Polignac number, because 331002000013 - 2⁵ = 331001999981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331001999957 and 331002000002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331002000083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165501000006 + 165501000007.

It is an arithmetic number, because the mean of its divisors is an integer number (165501000007).

Almost surely, 2^331002000013 is an apocalyptic number.

It is an amenable number.

331002000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

331002000013 is an equidigital number, since it uses as much as digits as its factorization.

331002000013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 331002000013 its reverse (310000200133), we get a palindrome (641002200146).

The spelling of 331002000013 in words is "three hundred thirty-one billion, two million, thirteen", and thus it is an aban number.