11331110123100 has 72 divisors (see below), whose sum is σ = 36427420700720. Its totient is φ = 3021629365440.

The previous prime is 11331110123027. The next prime is 11331110123101. The reversal of 11331110123100 is 132101113311.

11331110123100 is a `hidden beast` number, since 1 + 1 + 331 + 1 + 10 + 12 + 310 + 0 = 666.

It is a super-2 number, since 2×11331110123100² (a number of 27 digits) contains 22 as substring.

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 (11331110123101) 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 23 ways as a sum of consecutive naturals, for example, 2098351027 + ... + 2098356426.

Almost surely, 2^{11331110123100} is an apocalyptic number.

11331110123100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11331110123100 is an abundant number, since it is smaller than the sum of its proper divisors (25096310577620).

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

11331110123100 is a wasteful number, since it uses less digits than its factorization.

11331110123100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4196707476 (or 4196707463 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 11331110123100 its reverse (132101113311), we get a palindrome (11463211236411).

The spelling of 11331110123100 in words is "eleven trillion, three hundred thirty-one billion, one hundred ten million, one hundred twenty-three thousand, one hundred".