1001013113133 has 12 divisors (see below), whose sum is σ = 1577353996608. Its totient is φ = 606674613960.

The previous prime is 1001013113101. The next prime is 1001013113161. The reversal of 1001013113133 is 3313113101001.

It is not a de Polignac number, because 1001013113133 - 2⁵ = 1001013113101 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001013113173) 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 11 ways as a sum of consecutive naturals, for example, 5055621685 + ... + 5055621882.

It is an arithmetic number, because the mean of its divisors is an integer number (131446166384).

Almost surely, 2^{1001013113133} is an apocalyptic number.

It is an amenable number.

1001013113133 is a deficient number, since it is larger than the sum of its proper divisors (576340883475).

1001013113133 is a wasteful number, since it uses less digits than its factorization.

1001013113133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10111243584 (or 10111243581 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 1001013113133 its reverse (3313113101001), we get a palindrome (4314126214134).

The spelling of 1001013113133 in words is "one trillion, one billion, thirteen million, one hundred thirteen thousand, one hundred thirty-three".