1001033130313 has 16 divisors (see below), whose sum is σ = 1067867180800. Its totient is φ = 935632114560.

The previous prime is 1001033130299. The next prime is 1001033130337. The reversal of 1001033130313 is 3130313301001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001033130313 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001033134313) 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 15 ways as a sum of consecutive naturals, for example, 1730395 + ... + 2235247.

It is an arithmetic number, because the mean of its divisors is an integer number (66741698800).

Almost surely, 2^{1001033130313} is an apocalyptic number.

It is an amenable number.

1001033130313 is a deficient number, since it is larger than the sum of its proper divisors (66834050487).

1001033130313 is a wasteful number, since it uses less digits than its factorization.

1001033130313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506272.

The product of its (nonzero) digits is 243, while the sum is 19.

Adding to 1001033130313 its reverse (3130313301001), we get a palindrome (4131346431314).

The spelling of 1001033130313 in words is "one trillion, one billion, thirty-three million, one hundred thirty thousand, three hundred thirteen".