11331132003100 has 216 divisors, whose sum is σ = 30912141110928. Its totient is φ = 3573439027200.

The previous prime is 11331132003049. The next prime is 11331132003277. The reversal of 11331132003100 is 130023113311.

It is a super-2 number, since 2×11331132003100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17712820 + ... + 18341380.

Almost surely, 2^{11331132003100} is an apocalyptic number.

11331132003100 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 11331132003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456070555464).

11331132003100 is an abundant number, since it is smaller than the sum of its proper divisors (19581009107828).

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

11331132003100 is a wasteful number, since it uses less digits than its factorization.

11331132003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628885 (or 628871 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 11331132003100 its reverse (130023113311), we get a palindrome (11461155116411).

The spelling of 11331132003100 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, three thousand, one hundred".