11111113332 has 192 divisors, whose sum is σ = 33021112320. Its totient is φ = 3198096000.

The previous prime is 11111113319. The next prime is 11111113373. The reversal of 11111113332 is 23331111111.

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4124578 + ... + 4127270.

It is an arithmetic number, because the mean of its divisors is an integer number (171984960).

Almost surely, 2^11111113332 is an apocalyptic number.

11111113332 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 11111113332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16510556160).

11111113332 is an abundant number, since it is smaller than the sum of its proper divisors (21909998988).

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

11111113332 is a wasteful number, since it uses less digits than its factorization.

11111113332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2883 counting only the distinct ones).

The product of its digits is 54, while the sum is 18.

Adding to 11111113332 its reverse (23331111111), we get a palindrome (34442224443).

The spelling of 11111113332 in words is "eleven billion, one hundred eleven million, one hundred thirteen thousand, three hundred thirty-two".