101101110100013 has 6 divisors (see below), whose sum is σ = 105687927950094. Its totient is φ = 96705409660376.

The previous prime is 101101110100007. The next prime is 101101110100019. The reversal of 101101110100013 is 310001011101101.

It is an interprime number because it is at equal distance from previous prime (101101110100007) and next prime (101101110100019).

It can be written as a sum of positive squares in only one way, i.e., 52240702539529 + 48860407560484 = 7227773^2 + 6990022^2 .

It is not a de Polignac number, because 101101110100013 - 2³⁸ = 100826232193069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101101110099967 and 101101110100003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101110100019) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95558704670 + ... + 95558705727.

It is an arithmetic number, because the mean of its divisors is an integer number (17614654658349).

Almost surely, 2^{101101110100013} is an apocalyptic number.

It is an amenable number.

101101110100013 is a deficient number, since it is larger than the sum of its proper divisors (4586817850081).

101101110100013 is an equidigital number, since it uses as much as digits as its factorization.

101101110100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191117410443 (or 191117410420 counting only the distinct ones).

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

Adding to 101101110100013 its reverse (310001011101101), we get a palindrome (411102121201114).

The spelling of 101101110100013 in words is "one hundred one trillion, one hundred one billion, one hundred ten million, one hundred thousand, thirteen".