1005031321223 has 2 divisors, whose sum is σ = 1005031321224. Its totient is φ = 1005031321222.

The previous prime is 1005031321199. The next prime is 1005031321237. The reversal of 1005031321223 is 3221231305001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1005031321223 - 2¹⁸ = 1005031059079 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005031329223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502515660611 + 502515660612.

It is an arithmetic number, because the mean of its divisors is an integer number (502515660612).

Almost surely, 2^{1005031321223} is an apocalyptic number.

1005031321223 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005031321223 is an equidigital number, since it uses as much as digits as its factorization.

1005031321223 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

Adding to 1005031321223 its reverse (3221231305001), we get a palindrome (4226262626224).

The spelling of 1005031321223 in words is "one trillion, five billion, thirty-one million, three hundred twenty-one thousand, two hundred twenty-three".