230008013 has 2 divisors, whose sum is σ = 230008014. Its totient is φ = 230008012.

The previous prime is 230007959. The next prime is 230008033. The reversal of 230008013 is 310800032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229764964 + 243049 = 15158^2 + 493^2 .

It is a cyclic number.

It is not a de Polignac number, because 230008013 - 2¹⁸ = 229745869 is a prime.

It is a super-3 number, since 3×230008013³ (a number of 26 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 230007982 and 230008000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (230008033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115004006 + 115004007.

It is an arithmetic number, because the mean of its divisors is an integer number (115004007).

Almost surely, 2^230008013 is an apocalyptic number.

It is an amenable number.

230008013 is a deficient number, since it is larger than the sum of its proper divisors (1).

230008013 is an equidigital number, since it uses as much as digits as its factorization.

230008013 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 17.

The square root of 230008013 is about 15166.0150665888. The cubic root of 230008013 is about 612.6996826656.

Adding to 230008013 its reverse (310800032), we get a palindrome (540808045).

It can be divided in two parts, 23000 and 8013, that added together give a palindrome (31013).

The spelling of 230008013 in words is "two hundred thirty million, eight thousand, thirteen".