11331120102000 has 160 divisors (see below), whose sum is σ = 36650532382464. Its totient is φ = 3011789088000.

The previous prime is 11331120101953. The next prime is 11331120102017. The reversal of 11331120102000 is 20102113311.

It is a happy number.

It is a super-3 number, since 3×11331120102000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1233766 + ... + 4917765.

Almost surely, 2^{11331120102000} is an apocalyptic number.

11331120102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331120102000 is an abundant number, since it is smaller than the sum of its proper divisors (25319412280464).

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

11331120102000 is a wasteful number, since it uses less digits than its factorization.

11331120102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6151864 (or 6151848 counting only the distinct ones).

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

Adding to 11331120102000 its reverse (20102113311), we get a palindrome (11351222215311).

It can be divided in two parts, 113 and 31120102000, that added together give a palindrome (31120102113).

The spelling of 11331120102000 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty million, one hundred two thousand".