11331132002100 has 216 divisors, whose sum is σ = 35754000347520. Its totient is φ = 3001467306240.

The previous prime is 11331132002093. The next prime is 11331132002107. The reversal of 11331132002100 is 120023113311.

11331132002100 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 320 + 0 + 2 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11331132002093) and next prime (11331132002107).

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 (11331132002107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 545831521 + ... + 545852279.

Almost surely, 2^{11331132002100} is an apocalyptic number.

11331132002100 is a gapful number since it is divisible by the number (10) 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 11331132002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17877000173760).

11331132002100 is an abundant number, since it is smaller than the sum of its proper divisors (24422868345420).

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

11331132002100 is a wasteful number, since it uses less digits than its factorization.

11331132002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24799 (or 24789 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11331132002100 its reverse (120023113311), we get a palindrome (11451155115411).

The spelling of 11331132002100 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, two thousand, one hundred".