1002003111013 has 8 divisors (see below), whose sum is σ = 1004512331160. Its totient is φ = 999494181120.

The previous prime is 1002003110993. The next prime is 1002003111023. The reversal of 1002003111013 is 3101113002001.

It can be written as a sum of positive squares in 4 ways, for example, as 644837908324 + 357165202689 = 803018^2 + 597633^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002003111013 - 2²¹ = 1002001013861 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002003110984 and 1002003111002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002003111023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7944423 + ... + 8069563.

It is an arithmetic number, because the mean of its divisors is an integer number (125564041395).

Almost surely, 2^{1002003111013} is an apocalyptic number.

It is an amenable number.

1002003111013 is a deficient number, since it is larger than the sum of its proper divisors (2509220147).

1002003111013 is a wasteful number, since it uses less digits than its factorization.

1002003111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145127.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 1002003111013 its reverse (3101113002001), we get a palindrome (4103116113014).

The spelling of 1002003111013 in words is "one trillion, two billion, three million, one hundred eleven thousand, thirteen".