1003002211313 has 8 divisors (see below), whose sum is σ = 1005437149920. Its totient is φ = 1000567469440.

The previous prime is 1003002211297. The next prime is 1003002211319. The reversal of 1003002211313 is 3131122003001.

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 1003002211313 - 2⁴ = 1003002211297 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1003002211291 and 1003002211300.

It is not an unprimeable number, because it can be changed into a prime (1003002211319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19590758 + ... + 19641888.

It is an arithmetic number, because the mean of its divisors is an integer number (125679643740).

Almost surely, 2^{1003002211313} is an apocalyptic number.

It is an amenable number.

1003002211313 is a deficient number, since it is larger than the sum of its proper divisors (2434938607).

1003002211313 is an equidigital number, since it uses as much as digits as its factorization.

1003002211313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98367.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 1003002211313 its reverse (3131122003001), we get a palindrome (4134124214314).

The spelling of 1003002211313 in words is "one trillion, three billion, two million, two hundred eleven thousand, three hundred thirteen".