3000212121013 has 2 divisors, whose sum is σ = 3000212121014. Its totient is φ = 3000212121012.

The previous prime is 3000212121007. The next prime is 3000212121029. The reversal of 3000212121013 is 3101212120003.

It is an a-pointer prime, because the next prime (3000212121029) can be obtained adding 3000212121013 to its sum of digits (16).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2924517254884 + 75694866129 = 1710122^2 + 275127^2 .

It is a cyclic number.

It is not a de Polignac number, because 3000212121013 - 2⁴¹ = 801188865461 is a prime.

It is a super-2 number, since 2×3000212121013² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (3000212121073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1500106060506 + 1500106060507.

It is an arithmetic number, because the mean of its divisors is an integer number (1500106060507).

Almost surely, 2^{3000212121013} is an apocalyptic number.

It is an amenable number.

3000212121013 is a deficient number, since it is larger than the sum of its proper divisors (1).

3000212121013 is an equidigital number, since it uses as much as digits as its factorization.

3000212121013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 3000212121013 its reverse (3101212120003), we get a palindrome (6101424241016).

The spelling of 3000212121013 in words is "three trillion, two hundred twelve million, one hundred twenty-one thousand, thirteen".