110313312131101 has 16 divisors (see below), whose sum is σ = 116985781942848. Its totient is φ = 103661350214400.

The previous prime is 110313312131089. The next prime is 110313312131107. The reversal of 110313312131101 is 101131213313011.

It is not a de Polignac number, because 110313312131101 - 2⁴⁵ = 75128940042269 is a prime.

It is a super-2 number, since 2×110313312131101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110313312131107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26453011 + ... + 30337903.

It is an arithmetic number, because the mean of its divisors is an integer number (7311611371428).

Almost surely, 2^{110313312131101} is an apocalyptic number.

It is an amenable number.

110313312131101 is a deficient number, since it is larger than the sum of its proper divisors (6672469811747).

110313312131101 is a wasteful number, since it uses less digits than its factorization.

110313312131101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887532.

The product of its (nonzero) digits is 162, while the sum is 22.

Adding to 110313312131101 its reverse (101131213313011), we get a palindrome (211444525444112).

The spelling of 110313312131101 in words is "one hundred ten trillion, three hundred thirteen billion, three hundred twelve million, one hundred thirty-one thousand, one hundred one".