1100100021013 has 16 divisors (see below), whose sum is σ = 1282960800000. Its totient is φ = 942909562896.

The previous prime is 1100100021011. The next prime is 1100100021019. The reversal of 1100100021013 is 3101200010011.

It is not a de Polignac number, because 1100100021013 - 2¹ = 1100100021011 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100100021011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18873288 + ... + 18931486.

It is an arithmetic number, because the mean of its divisors is an integer number (80185050000).

Almost surely, 2^{1100100021013} is an apocalyptic number.

It is an amenable number.

1100100021013 is a deficient number, since it is larger than the sum of its proper divisors (182860778987).

1100100021013 is an frugal number, since it uses more digits than its factorization.

1100100021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113329 (or 113315 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 1100100021013 its reverse (3101200010011), we get a palindrome (4201300031024).

The spelling of 1100100021013 in words is "one trillion, one hundred billion, one hundred million, twenty-one thousand, thirteen".