330013113012101 has 2 divisors, whose sum is σ = 330013113012102. Its totient is φ = 330013113012100.

The previous prime is 330013113012073. The next prime is 330013113012119. The reversal of 330013113012101 is 101210311310033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 179077121080900 + 150935991931201 = 13381970^2 + 12285601^2 .

It is an emirp because it is prime and its reverse (101210311310033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 330013113012101 - 2¹⁰ = 330013113011077 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (330013113012701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165006556506050 + 165006556506051.

It is an arithmetic number, because the mean of its divisors is an integer number (165006556506051).

Almost surely, 2^{330013113012101} is an apocalyptic number.

It is an amenable number.

330013113012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

330013113012101 is an equidigital number, since it uses as much as digits as its factorization.

330013113012101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 330013113012101 its reverse (101210311310033), we get a palindrome (431223424322134).

The spelling of 330013113012101 in words is "three hundred thirty trillion, thirteen billion, one hundred thirteen million, twelve thousand, one hundred one".