1101100210013 has 16 divisors (see below), whose sum is σ = 1167248381040. Its totient is φ = 1035105878016.

The previous prime is 1101100209997. The next prime is 1101100210037. The reversal of 1101100210013 is 3100120011011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 82781072089 + 1018319137924 = 287717^2 + 1009118^2 .

It is a cyclic number.

It is not a de Polignac number, because 1101100210013 - 2⁴ = 1101100209997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1101100209976 and 1101100210003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101100218013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53200895 + ... + 53221587.

It is an arithmetic number, because the mean of its divisors is an integer number (72953023815).

Almost surely, 2^{1101100210013} is an apocalyptic number.

It is an amenable number.

1101100210013 is a deficient number, since it is larger than the sum of its proper divisors (66148171027).

1101100210013 is a wasteful number, since it uses less digits than its factorization.

1101100210013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24256.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1101100210013 its reverse (3100120011011), we get a palindrome (4201220221024).

The spelling of 1101100210013 in words is "one trillion, one hundred one billion, one hundred million, two hundred ten thousand, thirteen".