110313131112 has 192 divisors, whose sum is σ = 317807193600. Its totient is φ = 34520048640.

The previous prime is 110313131107. The next prime is 110313131167. The reversal of 110313131112 is 211131313011.

110313131112 is a `hidden beast` number, since 110 + 313 + 131 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 8883564 + ... + 8895972.

It is an arithmetic number, because the mean of its divisors is an integer number (1655245800).

Almost surely, 2^110313131112 is an apocalyptic number.

110313131112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110313131112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158903596800).

110313131112 is an abundant number, since it is smaller than the sum of its proper divisors (207494062488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110313131112 is a wasteful number, since it uses less digits than its factorization.

110313131112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12576 (or 12569 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 110313131112 its reverse (211131313011), we get a palindrome (321444444123).

The spelling of 110313131112 in words is "one hundred ten billion, three hundred thirteen million, one hundred thirty-one thousand, one hundred twelve".