230331201004001 has 2 divisors, whose sum is σ = 230331201004002. Its totient is φ = 230331201004000.

The previous prime is 230331201003991. The next prime is 230331201004039. The reversal of 230331201004001 is 100400102133032.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178868583678976 + 51462617325025 = 13374176^2 + 7173745^2 .

It is a cyclic number.

It is not a de Polignac number, because 230331201004001 - 2³⁸ = 230056323097057 is a prime.

It is a super-2 number, since 2×230331201004001² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (230331201004081) 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 as a sum of consecutive naturals, namely, 115165600502000 + 115165600502001.

It is an arithmetic number, because the mean of its divisors is an integer number (115165600502001).

Almost surely, 2^{230331201004001} is an apocalyptic number.

It is an amenable number.

230331201004001 is a deficient number, since it is larger than the sum of its proper divisors (1).

230331201004001 is an equidigital number, since it uses as much as digits as its factorization.

230331201004001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 230331201004001 its reverse (100400102133032), we get a palindrome (330731303137033).

The spelling of 230331201004001 in words is "two hundred thirty trillion, three hundred thirty-one billion, two hundred one million, four thousand, one".