130003131001 has 2 divisors, whose sum is σ = 130003131002. Its totient is φ = 130003131000.

The previous prime is 130003130953. The next prime is 130003131061. The reversal of 130003131001 is 100131300031.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 126682605625 + 3320525376 = 355925^2 + 57624^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-130003131001 is a prime.

It is not a weakly prime, because it can be changed into another prime (130003131061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65001565500 + 65001565501.

It is an arithmetic number, because the mean of its divisors is an integer number (65001565501).

Almost surely, 2^130003131001 is an apocalyptic number.

It is an amenable number.

130003131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

130003131001 is an equidigital number, since it uses as much as digits as its factorization.

130003131001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 130003131001 its reverse (100131300031), we get a palindrome (230134431032).

The spelling of 130003131001 in words is "one hundred thirty billion, three million, one hundred thirty-one thousand, one".