11331002112 has 144 divisors (see below), whose sum is σ = 32233324032. Its totient is φ = 3521167360.

The previous prime is 11331002093. The next prime is 11331002117. The reversal of 11331002112 is 21120013311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 11331002091 and 11331002100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331002117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1392937 + ... + 1401047.

It is an arithmetic number, because the mean of its divisors is an integer number (223842528).

Almost surely, 2^11331002112 is an apocalyptic number.

11331002112 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 11331002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16116662016).

11331002112 is an abundant number, since it is smaller than the sum of its proper divisors (20902321920).

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

11331002112 is a wasteful number, since it uses less digits than its factorization.

11331002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8254 (or 8240 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 11331002112 its reverse (21120013311), we get a palindrome (32451015423).

The spelling of 11331002112 in words is "eleven billion, three hundred thirty-one million, two thousand, one hundred twelve".