11012313312 has 1152 divisors, whose sum is σ = 46911674880. Its totient is φ = 2461777920.

The previous prime is 11012313281. The next prime is 11012313317. The reversal of 11012313312 is 21331321011.

11012313312 is a `hidden beast` number, since 1 + 101 + 231 + 331 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012313317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 102918763 + ... + 102918869.

It is an arithmetic number, because the mean of its divisors is an integer number (40721940).

Almost surely, 2^11012313312 is an apocalyptic number.

11012313312 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 11012313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23455837440).

11012313312 is an abundant number, since it is smaller than the sum of its proper divisors (35899361568).

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

11012313312 is a wasteful number, since it uses less digits than its factorization.

11012313312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11012313312 its reverse (21331321011), we get a palindrome (32343634323).

The spelling of 11012313312 in words is "eleven billion, twelve million, three hundred thirteen thousand, three hundred twelve".