11312101110 has 64 divisors (see below), whose sum is σ = 28074408192. Its totient is φ = 2915442816.

The previous prime is 11312101091. The next prime is 11312101133. The reversal of 11312101110 is 1110121311.

11312101110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 53437 + ... + 159623.

It is an arithmetic number, because the mean of its divisors is an integer number (438662628).

Almost surely, 2^11312101110 is an apocalyptic number.

11312101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14037204096).

11312101110 is an abundant number, since it is smaller than the sum of its proper divisors (16762307082).

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

11312101110 is a wasteful number, since it uses less digits than its factorization.

11312101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106317.

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

Adding to 11312101110 its reverse (1110121311), we get a palindrome (12422222421).

The spelling of 11312101110 in words is "eleven billion, three hundred twelve million, one hundred one thousand, one hundred ten".