1001002010013 has 16 divisors (see below), whose sum is σ = 1482988892800. Its totient is φ = 667324344960.

The previous prime is 1001002009999. The next prime is 1001002010027. The reversal of 1001002010013 is 3100102001001.

It is an interprime number because it is at equal distance from previous prime (1001002009999) and next prime (1001002010027).

It is not a de Polignac number, because 1001002010013 - 2¹⁷ = 1001001878941 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001002009977 and 1001002010004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001002010033) 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 in 15 ways as a sum of consecutive naturals, for example, 1753848 + ... + 2253438.

It is an arithmetic number, because the mean of its divisors is an integer number (92686805800).

Almost surely, 2^{1001002010013} is an apocalyptic number.

It is an amenable number.

1001002010013 is a deficient number, since it is larger than the sum of its proper divisors (481986882787).

1001002010013 is an equidigital number, since it uses as much as digits as its factorization.

1001002010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573809 (or 573803 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 1001002010013 its reverse (3100102001001), we get a palindrome (4101104011014).

The spelling of 1001002010013 in words is "one trillion, one billion, two million, ten thousand, thirteen".