4212300013 has 2 divisors, whose sum is σ = 4212300014. Its totient is φ = 4212300012.

The previous prime is 4212300011. The next prime is 4212300061. The reversal of 4212300013 is 3100032124.

It is a happy number.

4212300013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3104941284 + 1107358729 = 55722^2 + 33277^2 .

It is a cyclic number.

It is not a de Polignac number, because 4212300013 - 2¹ = 4212300011 is a prime.

Together with 4212300011, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 4212300013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4212300011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2106150006 + 2106150007.

It is an arithmetic number, because the mean of its divisors is an integer number (2106150007).

Almost surely, 2^4212300013 is an apocalyptic number.

It is an amenable number.

4212300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4212300013 is an equidigital number, since it uses as much as digits as its factorization.

4212300013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 4212300013 is about 64902.2342681668. The cubic root of 4212300013 is about 1615.0021263475.

Adding to 4212300013 its reverse (3100032124), we get a palindrome (7312332137).

The spelling of 4212300013 in words is "four billion, two hundred twelve million, three hundred thousand, thirteen".