1000010001301 has 2 divisors, whose sum is σ = 1000010001302. Its totient is φ = 1000010001300.

The previous prime is 1000010001283. The next prime is 1000010001401. The reversal of 1000010001301 is 1031000100001.

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., 961574398801 + 38435602500 = 980599^2 + 196050^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000010001301 - 2¹⁷ = 1000009870229 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000010001401) 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, 500005000650 + 500005000651.

It is an arithmetic number, because the mean of its divisors is an integer number (500005000651).

Almost surely, 2^{1000010001301} is an apocalyptic number.

It is an amenable number.

1000010001301 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000010001301 is an equidigital number, since it uses as much as digits as its factorization.

1000010001301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 7.

Adding to 1000010001301 its reverse (1031000100001), we get a palindrome (2031010101302).

The spelling of 1000010001301 in words is "one trillion, ten million, one thousand, three hundred one".