11313201333312 has 168 divisors, whose sum is σ = 32579680783104. Its totient is φ = 3753347705856.

The previous prime is 11313201333197. The next prime is 11313201333331. The reversal of 11313201333312 is 21333310231311.

11313201333312 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 320 + 1 + 3 + 3 + 331 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1039524223 + ... + 1039535105.

It is an arithmetic number, because the mean of its divisors is an integer number (193926671328).

Almost surely, 2^{11313201333312} is an apocalyptic number.

11313201333312 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 11313201333312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16289840391552).

11313201333312 is an abundant number, since it is smaller than the sum of its proper divisors (21266479449792).

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

11313201333312 is a wasteful number, since it uses less digits than its factorization.

11313201333312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19217 (or 19204 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11313201333312 its reverse (21333310231311), we get a palindrome (32646511564623).

The spelling of 11313201333312 in words is "eleven trillion, three hundred thirteen billion, two hundred one million, three hundred thirty-three thousand, three hundred twelve".