20330100013 has 2 divisors, whose sum is σ = 20330100014. Its totient is φ = 20330100012.

The previous prime is 20330100001. The next prime is 20330100079. The reversal of 20330100013 is 31000103302.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13942414084 + 6387685929 = 118078^2 + 79923^2 .

It is a cyclic number.

It is not a de Polignac number, because 20330100013 - 2⁵ = 20330099981 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 20330099966 and 20330100002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20330101013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10165050006 + 10165050007.

It is an arithmetic number, because the mean of its divisors is an integer number (10165050007).

Almost surely, 2^20330100013 is an apocalyptic number.

It is an amenable number.

20330100013 is a deficient number, since it is larger than the sum of its proper divisors (1).

20330100013 is an equidigital number, since it uses as much as digits as its factorization.

20330100013 is an odious number, because the sum of its binary digits is odd.

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

Adding to 20330100013 its reverse (31000103302), we get a palindrome (51330203315).

The spelling of 20330100013 in words is "twenty billion, three hundred thirty million, one hundred thousand, thirteen".