1101001100113 has 2 divisors, whose sum is σ = 1101001100114. Its totient is φ = 1101001100112.

The previous prime is 1101001100083. The next prime is 1101001100117. The reversal of 1101001100113 is 3110011001011.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1051266747969 + 49734352144 = 1025313^2 + 223012^2 .

It is an emirp because it is prime and its reverse (3110011001011) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1101001100113 - 2¹⁷ = 1101000969041 is a prime.

It is a super-2 number, since 2×1101001100113² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1101001100113.

It is not a weakly prime, because it can be changed into another prime (1101001100117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 550500550056 + 550500550057.

It is an arithmetic number, because the mean of its divisors is an integer number (550500550057).

Almost surely, 2^{1101001100113} is an apocalyptic number.

It is an amenable number.

1101001100113 is a deficient number, since it is larger than the sum of its proper divisors (1).

1101001100113 is an equidigital number, since it uses as much as digits as its factorization.

1101001100113 is an evil number, because the sum of its binary digits is even.

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

Adding to 1101001100113 its reverse (3110011001011), we get a palindrome (4211012101124).

The spelling of 1101001100113 in words is "one trillion, one hundred one billion, one million, one hundred thousand, one hundred thirteen".