30100002100213 has 2 divisors, whose sum is σ = 30100002100214. Its totient is φ = 30100002100212.

The previous prime is 30100002100211. The next prime is 30100002100243. The reversal of 30100002100213 is 31200120000103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16121204674884 + 13978797425329 = 4015122^2 + 3738823^2 .

It is a cyclic number.

It is not a de Polignac number, because 30100002100213 - 2¹ = 30100002100211 is a prime.

Together with 30100002100211, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 30100002100193 and 30100002100202.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30100002100211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15050001050106 + 15050001050107.

It is an arithmetic number, because the mean of its divisors is an integer number (15050001050107).

Almost surely, 2^{30100002100213} is an apocalyptic number.

It is an amenable number.

30100002100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

30100002100213 is an equidigital number, since it uses as much as digits as its factorization.

30100002100213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 30100002100213 its reverse (31200120000103), we get a palindrome (61300122100316).

The spelling of 30100002100213 in words is "thirty trillion, one hundred billion, two million, one hundred thousand, two hundred thirteen".