1001003031013 has 4 divisors (see below), whose sum is σ = 1035520376940. Its totient is φ = 966485685088.

The previous prime is 1001003030981. The next prime is 1001003031031. The reversal of 1001003031013 is 3101303001001.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 490289842849 + 510713188164 = 700207^2 + 714642^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001003031013 - 2⁵ = 1001003030981 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1001003030984 and 1001003031002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001003031043) 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 3 ways as a sum of consecutive naturals, for example, 17258672920 + ... + 17258672977.

It is an arithmetic number, because the mean of its divisors is an integer number (258880094235).

Almost surely, 2^{1001003031013} is an apocalyptic number.

It is an amenable number.

1001003031013 is a deficient number, since it is larger than the sum of its proper divisors (34517345927).

1001003031013 is an equidigital number, since it uses as much as digits as its factorization.

1001003031013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34517345926.

The product of its (nonzero) digits is 27, while the sum is 13.

Adding to 1001003031013 its reverse (3101303001001), we get a palindrome (4102306032014).

The spelling of 1001003031013 in words is "one trillion, one billion, three million, thirty-one thousand, thirteen".