1001001010013 has 2 divisors, whose sum is σ = 1001001010014. Its totient is φ = 1001001010012.

The previous prime is 1001001010007. The next prime is 1001001010027. The reversal of 1001001010013 is 3100101001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 921903384964 + 79097625049 = 960158^2 + 281243^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001001010013 is a prime.

It is a super-2 number, since 2×1001001010013² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001001013013) 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, 500500505006 + 500500505007.

It is an arithmetic number, because the mean of its divisors is an integer number (500500505007).

Almost surely, 2^{1001001010013} is an apocalyptic number.

It is an amenable number.

1001001010013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001001010013 is an equidigital number, since it uses as much as digits as its factorization.

1001001010013 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 1001001010013 its reverse (3100101001001), we get a palindrome (4101102011014).

The spelling of 1001001010013 in words is "one trillion, one billion, one million, ten thousand, thirteen".