1001033221113 has 6 divisors (see below), whose sum is σ = 1445936874954. Its totient is φ = 667355480736.

The previous prime is 1001033221087. The next prime is 1001033221117. The reversal of 1001033221113 is 3111223301001.

1001033221113 is a `hidden beast` number, since 100 + 10 + 332 + 211 + 13 = 666.

It can be written as a sum of positive squares in only one way, i.e., 764650560249 + 236382660864 = 874443^2 + 486192^2 .

It is not a de Polignac number, because 1001033221113 - 2⁶ = 1001033221049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001033221117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55612956720 + ... + 55612956737.

It is an arithmetic number, because the mean of its divisors is an integer number (240989479159).

Almost surely, 2^{1001033221113} is an apocalyptic number.

It is an amenable number.

1001033221113 is a deficient number, since it is larger than the sum of its proper divisors (444903653841).

1001033221113 is a wasteful number, since it uses less digits than its factorization.

1001033221113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111225913463 (or 111225913460 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1001033221113 its reverse (3111223301001), we get a palindrome (4112256522114).

The spelling of 1001033221113 in words is "one trillion, one billion, thirty-three million, two hundred twenty-one thousand, one hundred thirteen".