231805129993 has 2 divisors, whose sum is σ = 231805129994. Its totient is φ = 231805129992.

The previous prime is 231805129991. The next prime is 231805130003. The reversal of 231805129993 is 399921508132.

231805129993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 168918534009 + 62886595984 = 410997^2 + 250772^2 .

It is a cyclic number.

It is not a de Polignac number, because 231805129993 - 2¹ = 231805129991 is a prime.

Together with 231805129991, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 231805129993.

It is not a weakly prime, because it can be changed into another prime (231805129991) 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, 115902564996 + 115902564997.

It is an arithmetic number, because the mean of its divisors is an integer number (115902564997).

Almost surely, 2^231805129993 is an apocalyptic number.

It is an amenable number.

231805129993 is a deficient number, since it is larger than the sum of its proper divisors (1).

231805129993 is an equidigital number, since it uses as much as digits as its factorization.

231805129993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1049760, while the sum is 52.

The spelling of 231805129993 in words is "two hundred thirty-one billion, eight hundred five million, one hundred twenty-nine thousand, nine hundred ninety-three".