11331121101012 has 108 divisors (see below), whose sum is σ = 29748351070620. Its totient is φ = 3636463294464.

The previous prime is 11331121101011. The next prime is 11331121101037. The reversal of 11331121101012 is 21010112113311.

It can be written as a sum of positive squares in 6 ways, for example, as 833287819716 + 10497833281296 = 912846^2 + 3240036^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11331121101011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10157314 + ... + 11217542.

Almost surely, 2^{11331121101012} is an apocalyptic number.

11331121101012 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 11331121101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14874175535310).

11331121101012 is an abundant number, since it is smaller than the sum of its proper divisors (18417229969608).

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

11331121101012 is a wasteful number, since it uses less digits than its factorization.

11331121101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060650 (or 1060616 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11331121101012 its reverse (21010112113311), we get a palindrome (32341233214323).

The spelling of 11331121101012 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, one hundred one thousand, twelve".