2231001321001 has 2 divisors, whose sum is σ = 2231001321002. Its totient is φ = 2231001321000.

The previous prime is 2231001320987. The next prime is 2231001321023. The reversal of 2231001321001 is 1001231001322.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1123708122601 + 1107293198400 = 1060051^2 + 1052280^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2231001321001 is a prime.

It is a super-3 number, since 3×2231001321001³ (a number of 38 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2231001321071) 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, 1115500660500 + 1115500660501.

It is an arithmetic number, because the mean of its divisors is an integer number (1115500660501).

Almost surely, 2^{2231001321001} is an apocalyptic number.

It is an amenable number.

2231001321001 is a deficient number, since it is larger than the sum of its proper divisors (1).

2231001321001 is an equidigital number, since it uses as much as digits as its factorization.

2231001321001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2231001321001 its reverse (1001231001322), we get a palindrome (3232232322323).

The spelling of 2231001321001 in words is "two trillion, two hundred thirty-one billion, one million, three hundred twenty-one thousand, one".