230243142142013 has 256 divisors, whose sum is σ = 324097924405248. Its totient is φ = 157868974080000.

The previous prime is 230243142142009. The next prime is 230243142142019. The reversal of 230243142142013 is 310241241342032.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 230243142142013 - 2² = 230243142142009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230243142142019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 61677775295 + ... + 61677779027.

It is an arithmetic number, because the mean of its divisors is an integer number (1266007517208).

Almost surely, 2^{230243142142013} is an apocalyptic number.

It is an amenable number.

230243142142013 is a deficient number, since it is larger than the sum of its proper divisors (93854782263235).

230243142142013 is a wasteful number, since it uses less digits than its factorization.

230243142142013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136.

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 230243142142013 its reverse (310241241342032), we get a palindrome (540484383484045).

It can be divided in two parts, 2302431 and 42142013, that added together give a palindrome (44444444).

The spelling of 230243142142013 in words is "two hundred thirty trillion, two hundred forty-three billion, one hundred forty-two million, one hundred forty-two thousand, thirteen".