11011132023100 has 108 divisors (see below), whose sum is σ = 26285727890464. Its totient is φ = 4000708800000.

The previous prime is 11011132023079. The next prime is 11011132023113. The reversal of 11011132023100 is 132023111011.

It is a happy number.

It is a super-2 number, since 2×11011132023100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14153245 + ... + 14910955.

Almost surely, 2^{11011132023100} is an apocalyptic number.

11011132023100 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 11011132023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13142863945232).

11011132023100 is an abundant number, since it is smaller than the sum of its proper divisors (15274595867364).

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

11011132023100 is a wasteful number, since it uses less digits than its factorization.

11011132023100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758948 (or 758930 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 11011132023100 its reverse (132023111011), we get a palindrome (11143155134111).

It can be divided in two parts, 1101113 and 2023100, that added together give a palindrome (3124213).

The spelling of 11011132023100 in words is "eleven trillion, eleven billion, one hundred thirty-two million, twenty-three thousand, one hundred".