110110101322013 has 24 divisors (see below), whose sum is σ = 123156383164416. Its totient is φ = 98298603000000.

The previous prime is 110110101322009. The next prime is 110110101322051. The reversal of 110110101322013 is 310223101011011.

It is not a de Polignac number, because 110110101322013 - 2² = 110110101322009 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 110110101321982 and 110110101322000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110110101322073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1503263 + ... + 14915763.

It is an arithmetic number, because the mean of its divisors is an integer number (5131515965184).

Almost surely, 2^{110110101322013} is an apocalyptic number.

110110101322013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

110110101322013 is a deficient number, since it is larger than the sum of its proper divisors (13046281842403).

110110101322013 is a wasteful number, since it uses less digits than its factorization.

110110101322013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13414125 (or 13414112 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 110110101322013 its reverse (310223101011011), we get a palindrome (420333202333024).

The spelling of 110110101322013 in words is "one hundred ten trillion, one hundred ten billion, one hundred one million, three hundred twenty-two thousand, thirteen".