1002000100013 has 4 divisors (see below), whose sum is σ = 1093091018208. Its totient is φ = 910909181820.

The previous prime is 1002000099949. The next prime is 1002000100019. The reversal of 1002000100013 is 3100010002001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 1002000100013 - 2⁶ = 1002000099949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002000100019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 45545459081 + ... + 45545459102.

It is an arithmetic number, because the mean of its divisors is an integer number (273272754552).

Almost surely, 2^{1002000100013} is an apocalyptic number.

It is an amenable number.

1002000100013 is a deficient number, since it is larger than the sum of its proper divisors (91090918195).

1002000100013 is an equidigital number, since it uses as much as digits as its factorization.

1002000100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91090918194.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 1002000100013 its reverse (3100010002001), we get a palindrome (4102010102014).

The spelling of 1002000100013 in words is "one trillion, two billion, one hundred thousand, thirteen".