1001321011241 has 2 divisors, whose sum is σ = 1001321011242. Its totient is φ = 1001321011240.

The previous prime is 1001321011177. The next prime is 1001321011253. The reversal of 1001321011241 is 1421101231001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 988274574400 + 13046436841 = 994120^2 + 114221^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001321011241 - 2⁶ = 1001321011177 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001321011261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500660505620 + 500660505621.

It is an arithmetic number, because the mean of its divisors is an integer number (500660505621).

Almost surely, 2^{1001321011241} is an apocalyptic number.

It is an amenable number.

1001321011241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001321011241 is an equidigital number, since it uses as much as digits as its factorization.

1001321011241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 1001321011241 its reverse (1421101231001), we get a palindrome (2422422242242).

The spelling of 1001321011241 in words is "one trillion, one billion, three hundred twenty-one million, eleven thousand, two hundred forty-one".