231000003001 has 2 divisors, whose sum is σ = 231000003002. Its totient is φ = 231000003000.

The previous prime is 231000002927. The next prime is 231000003011. The reversal of 231000003001 is 100300000132.

231000003001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (231000003011) can be obtained adding 231000003001 to its sum of digits (10).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 206374861225 + 24625141776 = 454285^2 + 156924^2 .

It is a cyclic number.

It is not a de Polignac number, because 231000003001 - 2¹⁹ = 230999478713 is a prime.

It is a super-2 number, since 2×231000003001² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (231000003011) 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, 115500001500 + 115500001501.

It is an arithmetic number, because the mean of its divisors is an integer number (115500001501).

Almost surely, 2^231000003001 is an apocalyptic number.

It is an amenable number.

231000003001 is a deficient number, since it is larger than the sum of its proper divisors (1).

231000003001 is an equidigital number, since it uses as much as digits as its factorization.

231000003001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 231000003001 its reverse (100300000132), we get a palindrome (331300003133).

The spelling of 231000003001 in words is "two hundred thirty-one billion, three thousand, one".