10330311331013 has 2 divisors, whose sum is σ = 10330311331014. Its totient is φ = 10330311331012.

The previous prime is 10330311331009. The next prime is 10330311331031. The reversal of 10330311331013 is 31013311303301.

Together with next prime (10330311331031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10196634809089 + 133676521924 = 3193217^2 + 365618^2 .

It is a cyclic number.

It is not a de Polignac number, because 10330311331013 - 2² = 10330311331009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10330311331013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10330311330013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5165155665506 + 5165155665507.

It is an arithmetic number, because the mean of its divisors is an integer number (5165155665507).

Almost surely, 2^{10330311331013} is an apocalyptic number.

It is an amenable number.

10330311331013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10330311331013 is an equidigital number, since it uses as much as digits as its factorization.

10330311331013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729, while the sum is 23.

Adding to 10330311331013 its reverse (31013311303301), we get a palindrome (41343622634314).

The spelling of 10330311331013 in words is "ten trillion, three hundred thirty billion, three hundred eleven million, three hundred thirty-one thousand, thirteen".