330131220111013 has 2 divisors, whose sum is σ = 330131220111014. Its totient is φ = 330131220111012.

The previous prime is 330131220110987. The next prime is 330131220111019. The reversal of 330131220111013 is 310111022131033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 217870795639809 + 112260424471204 = 14760447^2 + 10595302^2 .

It is a cyclic number.

It is not a de Polignac number, because 330131220111013 - 2¹³ = 330131220102821 is a prime.

It is a super-2 number, since 2×330131220111013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330131220111019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165065610055506 + 165065610055507.

It is an arithmetic number, because the mean of its divisors is an integer number (165065610055507).

Almost surely, 2^{330131220111013} is an apocalyptic number.

It is an amenable number.

330131220111013 is a deficient number, since it is larger than the sum of its proper divisors (1).

330131220111013 is an equidigital number, since it uses as much as digits as its factorization.

330131220111013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 330131220111013 its reverse (310111022131033), we get a palindrome (640242242242046).

The spelling of 330131220111013 in words is "three hundred thirty trillion, one hundred thirty-one billion, two hundred twenty million, one hundred eleven thousand, thirteen".