300312013 has 2 divisors, whose sum is σ = 300312014. Its totient is φ = 300312012.

The previous prime is 300311993. The next prime is 300312029. The reversal of 300312013 is 310213003.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 171557604 + 128754409 = 13098^2 + 11347^2 .

It is a cyclic number.

It is not a de Polignac number, because 300312013 - 2⁵ = 300311981 is a prime.

It is a super-2 number, since 2×300312013² = 180374610304224338, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 300311984 and 300312002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (300312913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150156006 + 150156007.

It is an arithmetic number, because the mean of its divisors is an integer number (150156007).

Almost surely, 2^300312013 is an apocalyptic number.

It is an amenable number.

300312013 is a deficient number, since it is larger than the sum of its proper divisors (1).

300312013 is an equidigital number, since it uses as much as digits as its factorization.

300312013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 300312013 is about 17329.5127744550. The cubic root of 300312013 is about 669.6649494299.

Adding to 300312013 its reverse (310213003), we get a palindrome (610525016).

The spelling of 300312013 in words is "three hundred million, three hundred twelve thousand, thirteen".