11331132002112 has 224 divisors, whose sum is σ = 33427855399680. Its totient is φ = 3363449241600.

The previous prime is 11331132002107. The next prime is 11331132002147. The reversal of 11331132002112 is 21120023113311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86868013 + ... + 86998355.

It is an arithmetic number, because the mean of its divisors is an integer number (149231497320).

Almost surely, 2^{11331132002112} is an apocalyptic number.

11331132002112 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 11331132002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713927699840).

11331132002112 is an abundant number, since it is smaller than the sum of its proper divisors (22096723397568).

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

11331132002112 is a wasteful number, since it uses less digits than its factorization.

11331132002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131601 (or 131591 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 11331132002112 its reverse (21120023113311), we get a palindrome (32451155115423).

The spelling of 11331132002112 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, two thousand, one hundred twelve".