21000300313 has 2 divisors, whose sum is σ = 21000300314. Its totient is φ = 21000300312.

The previous prime is 21000300301. The next prime is 21000300317. The reversal of 21000300313 is 31300300012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19894538304 + 1105762009 = 141048^2 + 33253^2 .

It is a cyclic number.

It is not a de Polignac number, because 21000300313 - 2⁵ = 21000300281 is a prime.

It is a super-2 number, since 2×21000300313² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21000300293 and 21000300302.

It is not a weakly prime, because it can be changed into another prime (21000300317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10500150156 + 10500150157.

It is an arithmetic number, because the mean of its divisors is an integer number (10500150157).

Almost surely, 2^21000300313 is an apocalyptic number.

It is an amenable number.

21000300313 is a deficient number, since it is larger than the sum of its proper divisors (1).

21000300313 is an equidigital number, since it uses as much as digits as its factorization.

21000300313 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 13.

Adding to 21000300313 its reverse (31300300012), we get a palindrome (52300600325).

The spelling of 21000300313 in words is "twenty-one billion, three hundred thousand, three hundred thirteen".