11310000110112 has 96 divisors (see below), whose sum is σ = 32415821040960. Its totient is φ = 3424299909120.

The previous prime is 11310000110077. The next prime is 11310000110119. The reversal of 11310000110112 is 21101100001311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11310000110112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (11310000110119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3426937 + ... + 5862072.

It is an arithmetic number, because the mean of its divisors is an integer number (337664802510).

Almost surely, 2^{11310000110112} is an apocalyptic number.

11310000110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11310000110112 is an abundant number, since it is smaller than the sum of its proper divisors (21105820930848).

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

11310000110112 is a wasteful number, since it uses less digits than its factorization.

11310000110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9290186 (or 9290178 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11310000110112 its reverse (21101100001311), we get a palindrome (32411100111423).

The spelling of 11310000110112 in words is "eleven trillion, three hundred ten billion, one hundred ten thousand, one hundred twelve".