1011314112 has 56 divisors (see below), whose sum is σ = 2685050256. Its totient is φ = 335935488.

The previous prime is 1011314089. The next prime is 1011314113. The reversal of 1011314112 is 2114131101.

1011314112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1011314091 and 1011314100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011314113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47268 + ... + 65244.

It is an arithmetic number, because the mean of its divisors is an integer number (47947326).

Almost surely, 2^1011314112 is an apocalyptic number.

1011314112 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 1011314112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342525128).

1011314112 is an abundant number, since it is smaller than the sum of its proper divisors (1673736144).

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

1011314112 is a wasteful number, since it uses less digits than its factorization.

1011314112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18285 (or 18275 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 1011314112 is about 31801.1652616693. The cubic root of 1011314112 is about 1003.7572361630.

Adding to 1011314112 its reverse (2114131101), we get a palindrome (3125445213).

The spelling of 1011314112 in words is "one billion, eleven million, three hundred fourteen thousand, one hundred twelve".