1001011000013 has 2 divisors, whose sum is σ = 1001011000014. Its totient is φ = 1001011000012.

The previous prime is 1001010999959. The next prime is 1001011000123. The reversal of 1001011000013 is 3100001101001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 994962360484 + 6048639529 = 997478^2 + 77773^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001011000013 - 2²⁶ = 1000943891149 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001011000513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500505500006 + 500505500007.

It is an arithmetic number, because the mean of its divisors is an integer number (500505500007).

Almost surely, 2^{1001011000013} is an apocalyptic number.

It is an amenable number.

1001011000013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001011000013 is an equidigital number, since it uses as much as digits as its factorization.

1001011000013 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 8.

Adding to 1001011000013 its reverse (3100001101001), we get a palindrome (4101012101014).

The spelling of 1001011000013 in words is "one trillion, one billion, eleven million, thirteen", and thus it is an aban number and an uban number.