230313312312013 has 6 divisors (see below), whose sum is σ = 267915485750766. Its totient is φ = 197411410553112.

The previous prime is 230313312311987. The next prime is 230313312312113. The reversal of 230313312312013 is 310213213313032.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 176448237357924 + 53865074954089 = 13283382^2 + 7339283^2 .

It is not a de Polignac number, because 230313312312013 - 2⁵ = 230313312311981 is a prime.

It is a super-2 number, since 2×230313312312013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230313312312113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2350135839870 + ... + 2350135839967.

It is an arithmetic number, because the mean of its divisors is an integer number (44652580958461).

Almost surely, 2^{230313312312013} is an apocalyptic number.

It is an amenable number.

230313312312013 is a deficient number, since it is larger than the sum of its proper divisors (37602173438753).

230313312312013 is an equidigital number, since it uses as much as digits as its factorization.

230313312312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4700271679851 (or 4700271679844 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 230313312312013 its reverse (310213213313032), we get a palindrome (540526525625045).

The spelling of 230313312312013 in words is "two hundred thirty trillion, three hundred thirteen billion, three hundred twelve million, three hundred twelve thousand, thirteen".