1005431321201 has 8 divisors (see below), whose sum is σ = 1008014952960. Its totient is φ = 1002848301792.

The previous prime is 1005431321189. The next prime is 1005431321203. The reversal of 1005431321201 is 1021231345001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005431321201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005431321203) 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 in 7 ways as a sum of consecutive naturals, for example, 3230816 + ... + 3528318.

It is an arithmetic number, because the mean of its divisors is an integer number (126001869120).

Almost surely, 2^{1005431321201} is an apocalyptic number.

It is an amenable number.

1005431321201 is a deficient number, since it is larger than the sum of its proper divisors (2583631759).

1005431321201 is an equidigital number, since it uses as much as digits as its factorization.

1005431321201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306175.

The product of its (nonzero) digits is 720, while the sum is 23.

Adding to 1005431321201 its reverse (1021231345001), we get a palindrome (2026662666202).

The spelling of 1005431321201 in words is "one trillion, five billion, four hundred thirty-one million, three hundred twenty-one thousand, two hundred one".