11211313233312 has 192 divisors, whose sum is σ = 32783585103360. Its totient is φ = 3727520197632.

The previous prime is 11211313233299. The next prime is 11211313233313. The reversal of 11211313233312 is 21333231311211.

11211313233312 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 3 + 1 + 323 + 331 + 2 = 666.

11211313233312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (11211313233313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1445311738 + ... + 1445319494.

It is an arithmetic number, because the mean of its divisors is an integer number (170747839080).

Almost surely, 2^{11211313233312} is an apocalyptic number.

11211313233312 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 11211313233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16391792551680).

11211313233312 is an abundant number, since it is smaller than the sum of its proper divisors (21572271870048).

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

11211313233312 is a wasteful number, since it uses less digits than its factorization.

11211313233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11852 (or 11838 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 11211313233312 its reverse (21333231311211), we get a palindrome (32544544544523).

The spelling of 11211313233312 in words is "eleven trillion, two hundred eleven billion, three hundred thirteen million, two hundred thirty-three thousand, three hundred twelve".