1100013033121 has 12 divisors (see below), whose sum is σ = 1137344787732. Its totient is φ = 1063870524000.

The previous prime is 1100013033079. The next prime is 1100013033131. The reversal of 1100013033121 is 1213303100011.

It can be written as a sum of positive squares in 2 ways, for example, as 622931347600 + 477081685521 = 789260^2 + 690711^2 .

It is not a de Polignac number, because 1100013033121 - 2¹⁵ = 1100013000353 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1100013033095 and 1100013033104.

It is not an unprimeable number, because it can be changed into a prime (1100013033131) 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 11 ways as a sum of consecutive naturals, for example, 1204711 + ... + 1910851.

It is an arithmetic number, because the mean of its divisors is an integer number (94778732311).

Almost surely, 2^{1100013033121} is an apocalyptic number.

It is an amenable number.

1100013033121 is a deficient number, since it is larger than the sum of its proper divisors (37331754611).

1100013033121 is an equidigital number, since it uses as much as digits as its factorization.

1100013033121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707824 (or 707793 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 1100013033121 its reverse (1213303100011), we get a palindrome (2313316133132).

The spelling of 1100013033121 in words is "one trillion, one hundred billion, thirteen million, thirty-three thousand, one hundred twenty-one".