301211311000013 has 2 divisors, whose sum is σ = 301211311000014. Its totient is φ = 301211311000012.

The previous prime is 301211310999953. The next prime is 301211311000049. The reversal of 301211311000013 is 310000113112103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 184657306343689 + 116554004656324 = 13588867^2 + 10796018^2 .

It is an emirp because it is prime and its reverse (310000113112103) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-301211311000013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 301211310999955 and 301211311000000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301211311000513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150605655500006 + 150605655500007.

It is an arithmetic number, because the mean of its divisors is an integer number (150605655500007).

Almost surely, 2^{301211311000013} is an apocalyptic number.

It is an amenable number.

301211311000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

301211311000013 is an equidigital number, since it uses as much as digits as its factorization.

301211311000013 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 17.

Adding to 301211311000013 its reverse (310000113112103), we get a palindrome (611211424112116).

The spelling of 301211311000013 in words is "three hundred one trillion, two hundred eleven billion, three hundred eleven million, thirteen", and thus it is an aban number.