230101130013 has 16 divisors (see below), whose sum is σ = 324904110336. Its totient is φ = 144352532480.

The previous prime is 230101129963. The next prime is 230101130041. The reversal of 230101130013 is 310031101032.

230101130013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 230101130013 - 2¹⁰ = 230101128989 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 230101129974 and 230101130001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230101130093) 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 in 15 ways as a sum of consecutive naturals, for example, 81108 + ... + 683213.

It is an arithmetic number, because the mean of its divisors is an integer number (20306506896).

Almost surely, 2^230101130013 is an apocalyptic number.

It is an amenable number.

230101130013 is a deficient number, since it is larger than the sum of its proper divisors (94802980323).

230101130013 is a wasteful number, since it uses less digits than its factorization.

230101130013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770244.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 230101130013 its reverse (310031101032), we get a palindrome (540132231045).

The spelling of 230101130013 in words is "two hundred thirty billion, one hundred one million, one hundred thirty thousand, thirteen".