1003131001 has 2 divisors, whose sum is σ = 1003131002. Its totient is φ = 1003131000.

The previous prime is 1003130983. The next prime is 1003131007. The reversal of 1003131001 is 1001313001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 933241401 + 69889600 = 30549^2 + 8360^2 .

It is a cyclic number.

It is not a de Polignac number, because 1003131001 - 2¹⁷ = 1002999929 is a prime.

It is not a weakly prime, because it can be changed into another prime (1003131007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501565500 + 501565501.

It is an arithmetic number, because the mean of its divisors is an integer number (501565501).

Almost surely, 2^1003131001 is an apocalyptic number.

It is an amenable number.

1003131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

1003131001 is an equidigital number, since it uses as much as digits as its factorization.

1003131001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9, while the sum is 10.

The square root of 1003131001 is about 31672.2433843894. The cubic root of 1003131001 is about 1001.0425796499.

Adding to 1003131001 its reverse (1001313001), we get a palindrome (2004444002).

The spelling of 1003131001 in words is "one billion, three million, one hundred thirty-one thousand, one".