101110001110013 has 8 divisors (see below), whose sum is σ = 115554814912128. Its totient is φ = 86665319290224.

The previous prime is 101110001109941. The next prime is 101110001110021. The reversal of 101110001110013 is 310011100011101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101110001110013 - 2⁸ = 101110001109757 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101110001109976 and 101110001110003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101110001110043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31348481 + ... + 34423062.

It is an arithmetic number, because the mean of its divisors is an integer number (14444351864016).

Almost surely, 2^{101110001110013} is an apocalyptic number.

It is an amenable number.

101110001110013 is a deficient number, since it is larger than the sum of its proper divisors (14444813802115).

101110001110013 is an equidigital number, since it uses as much as digits as its factorization.

101110001110013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65991163.

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

Adding to 101110001110013 its reverse (310011100011101), we get a palindrome (411121101121114).

The spelling of 101110001110013 in words is "one hundred one trillion, one hundred ten billion, one million, one hundred ten thousand, thirteen".