1101100101113 has 16 divisors (see below), whose sum is σ = 1109821964160. Its totient is φ = 1092410064000.

The previous prime is 1101100101109. The next prime is 1101100101121. The reversal of 1101100101113 is 3111010011011.

It is a cyclic number.

It is not a de Polignac number, because 1101100101113 - 2² = 1101100101109 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1101100101094 and 1101100101103.

It is not an unprimeable number, because it can be changed into a prime (1101100104113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204396806 + ... + 204402192.

It is an arithmetic number, because the mean of its divisors is an integer number (69363872760).

Almost surely, 2^{1101100101113} is an apocalyptic number.

It is an amenable number.

1101100101113 is a deficient number, since it is larger than the sum of its proper divisors (8721863047).

1101100101113 is a wasteful number, since it uses less digits than its factorization.

1101100101113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8048.

The product of its (nonzero) digits is 3, while the sum is 11.

Adding to 1101100101113 its reverse (3111010011011), we get a palindrome (4212110112124).

The spelling of 1101100101113 in words is "one trillion, one hundred one billion, one hundred million, one hundred one thousand, one hundred thirteen".