2100330013 has 2 divisors, whose sum is σ = 2100330014. Its totient is φ = 2100330012.

The previous prime is 2100329989. The next prime is 2100330019. The reversal of 2100330013 is 3100330012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1596641764 + 503688249 = 39958^2 + 22443^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100330013 - 2⁵ = 2100329981 is a prime.

It is a super-2 number, since 2×2100330013² = 8822772327017160338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2100329975 and 2100330002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2100330019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1050165006 + 1050165007.

It is an arithmetic number, because the mean of its divisors is an integer number (1050165007).

Almost surely, 2^2100330013 is an apocalyptic number.

It is an amenable number.

2100330013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2100330013 is an equidigital number, since it uses as much as digits as its factorization.

2100330013 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.

The square root of 2100330013 is about 45829.3575451369. The cubic root of 2100330013 is about 1280.6462420726.

Adding to 2100330013 its reverse (3100330012), we get a palindrome (5200660025).

Subtracting 2100330013 from its reverse (3100330012), we obtain a palindrome (999999999).

The spelling of 2100330013 in words is "two billion, one hundred million, three hundred thirty thousand, thirteen".