1100213123013 has 24 divisors (see below), whose sum is σ = 1594464125592. Its totient is φ = 731044873728.

The previous prime is 1100213122999. The next prime is 1100213123029. The reversal of 1100213123013 is 3103213120011.

It can be written as a sum of positive squares in 4 ways, for example, as 45406069569 + 1054807053444 = 213087^2 + 1027038^2 .

It is not a de Polignac number, because 1100213123013 - 2²⁸ = 1099944687557 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100213123033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30893145 + ... + 30928737.

It is an arithmetic number, because the mean of its divisors is an integer number (66436005233).

Almost surely, 2^{1100213123013} is an apocalyptic number.

It is an amenable number.

1100213123013 is a deficient number, since it is larger than the sum of its proper divisors (494251002579).

1100213123013 is a wasteful number, since it uses less digits than its factorization.

1100213123013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46885 (or 46882 counting only the distinct ones).

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

Adding to 1100213123013 its reverse (3103213120011), we get a palindrome (4203426243024).

The spelling of 1100213123013 in words is "one trillion, one hundred billion, two hundred thirteen million, one hundred twenty-three thousand, thirteen".