110001101111013 has 32 divisors (see below), whose sum is σ = 173384591776000. Its totient is φ = 61996706650368.

The previous prime is 110001101110949. The next prime is 110001101111021. The reversal of 110001101111013 is 310111101100011.

It is not a de Polignac number, because 110001101111013 - 2⁶ = 110001101110949 is a prime.

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 110001101111013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110001101111063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732123328 + ... + 732273561.

It is an arithmetic number, because the mean of its divisors is an integer number (5418268493000).

Almost surely, 2^{110001101111013} is an apocalyptic number.

It is an amenable number.

110001101111013 is a deficient number, since it is larger than the sum of its proper divisors (63383490664987).

110001101111013 is an equidigital number, since it uses as much as digits as its factorization.

110001101111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464396986 (or 1464396972 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 12.

Adding to 110001101111013 its reverse (310111101100011), we get a palindrome (420112202211024).

The spelling of 110001101111013 in words is "one hundred ten trillion, one billion, one hundred one million, one hundred eleven thousand, thirteen".