1001011220013 has 16 divisors (see below), whose sum is σ = 1536994331136. Its totient is φ = 567639948720.

The previous prime is 1001011219921. The next prime is 1001011220039. The reversal of 1001011220013 is 3100221101001.

It is not a de Polignac number, because 1001011220013 - 2²⁴ = 1000994442797 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 (1001011220413) 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 15 ways as a sum of consecutive naturals, for example, 181933131 + ... + 181938632.

It is an arithmetic number, because the mean of its divisors is an integer number (96062145696).

Almost surely, 2^{1001011220013} is an apocalyptic number.

It is an amenable number.

1001011220013 is a deficient number, since it is larger than the sum of its proper divisors (535983111123).

1001011220013 is a wasteful number, since it uses less digits than its factorization.

1001011220013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363871904.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 1001011220013 its reverse (3100221101001), we get a palindrome (4101232321014).

The spelling of 1001011220013 in words is "one trillion, one billion, eleven million, two hundred twenty thousand, thirteen".