1101000110113 has 16 divisors (see below), whose sum is σ = 1126540396800. Its totient is φ = 1075723735680.

The previous prime is 1101000110087. The next prime is 1101000110117. The reversal of 1101000110113 is 3110110001011.

It is a cyclic number.

It is not a de Polignac number, because 1101000110113 - 2⁵ = 1101000110081 is a prime.

It is a super-3 number, since 3×1101000110113³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1101000110113.

It is not an unprimeable number, because it can be changed into a prime (1101000110117) 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, 5862808 + ... + 6047686.

It is an arithmetic number, because the mean of its divisors is an integer number (70408774800).

Almost surely, 2^{1101000110113} is an apocalyptic number.

It is an amenable number.

1101000110113 is a deficient number, since it is larger than the sum of its proper divisors (25540286687).

1101000110113 is a wasteful number, since it uses less digits than its factorization.

1101000110113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185592.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 1101000110113 its reverse (3110110001011), we get a palindrome (4211110111124).

The spelling of 1101000110113 in words is "one trillion, one hundred one billion, one hundred ten thousand, one hundred thirteen".