1003310031001 has 2 divisors, whose sum is σ = 1003310031002. Its totient is φ = 1003310031000.

The previous prime is 1003310030993. The next prime is 1003310031007. The reversal of 1003310031001 is 1001300133001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 991516071001 + 11793960000 = 995749^2 + 108600^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003310031001 - 2³ = 1003310030993 is a prime.

It is not a weakly prime, because it can be changed into another prime (1003310031007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501655015500 + 501655015501.

It is an arithmetic number, because the mean of its divisors is an integer number (501655015501).

Almost surely, 2^{1003310031001} is an apocalyptic number.

It is an amenable number.

1003310031001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003310031001 is an equidigital number, since it uses as much as digits as its factorization.

1003310031001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 1003310031001 its reverse (1001300133001), we get a palindrome (2004610164002).

The spelling of 1003310031001 in words is "one trillion, three billion, three hundred ten million, thirty-one thousand, one".