1303001331001 has 2 divisors, whose sum is σ = 1303001331002. Its totient is φ = 1303001331000.

The previous prime is 1303001330971. The next prime is 1303001331013. The reversal of 1303001331001 is 1001331003031.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 754292250000 + 548709081001 = 868500^2 + 740749^2 .

It is a cyclic number.

It is not a de Polignac number, because 1303001331001 - 2¹³ = 1303001322809 is a prime.

It is not a weakly prime, because it can be changed into another prime (1303001331701) 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, 651500665500 + 651500665501.

It is an arithmetic number, because the mean of its divisors is an integer number (651500665501).

Almost surely, 2^{1303001331001} is an apocalyptic number.

It is an amenable number.

1303001331001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1303001331001 is an equidigital number, since it uses as much as digits as its factorization.

1303001331001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 16.

Adding to 1303001331001 its reverse (1001331003031), we get a palindrome (2304332334032).

The spelling of 1303001331001 in words is "one trillion, three hundred three billion, one million, three hundred thirty-one thousand, one".