230120313013 has 2 divisors, whose sum is σ = 230120313014. Its totient is φ = 230120313012.

The previous prime is 230120312987. The next prime is 230120313029. The reversal of 230120313013 is 310313021032.

230120313013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116269406289 + 113850906724 = 340983^2 + 337418^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-230120313013 is a prime.

It is a super-2 number, since 2×230120313013² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (230120313413) 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, 115060156506 + 115060156507.

It is an arithmetic number, because the mean of its divisors is an integer number (115060156507).

Almost surely, 2^230120313013 is an apocalyptic number.

It is an amenable number.

230120313013 is a deficient number, since it is larger than the sum of its proper divisors (1).

230120313013 is an equidigital number, since it uses as much as digits as its factorization.

230120313013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 230120313013 its reverse (310313021032), we get a palindrome (540433334045).

The spelling of 230120313013 in words is "two hundred thirty billion, one hundred twenty million, three hundred thirteen thousand, thirteen".