110002112211313 has 96 divisors (see below), whose sum is σ = 141509597184000. Its totient is φ = 84917942524800.

The previous prime is 110002112211293. The next prime is 110002112211331. The reversal of 110002112211313 is 313112211200011.

It is not a de Polignac number, because 110002112211313 - 2⁹ = 110002112210801 is a prime.

It is a super-3 number, since 3×110002112211313³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (110002112211713) 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 95 ways as a sum of consecutive naturals, for example, 567512388 + ... + 567706186.

It is an arithmetic number, because the mean of its divisors is an integer number (1474058304000).

Almost surely, 2^{110002112211313} is an apocalyptic number.

It is an amenable number.

110002112211313 is a deficient number, since it is larger than the sum of its proper divisors (31507484972687).

110002112211313 is a wasteful number, since it uses less digits than its factorization.

110002112211313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194211 (or 194204 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 110002112211313 its reverse (313112211200011), we get a palindrome (423114323411324).

The spelling of 110002112211313 in words is "one hundred ten trillion, two billion, one hundred twelve million, two hundred eleven thousand, three hundred thirteen".