11132312100 has 576 divisors, whose sum is σ = 41493344256. Its totient is φ = 2241976320.

The previous prime is 11132312083. The next prime is 11132312101. The reversal of 11132312100 is 121323111.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11132312100.

It is not an unprimeable number, because it can be changed into a prime (11132312101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 104040247 + ... + 104040353.

It is an arithmetic number, because the mean of its divisors is an integer number (72037056).

Almost surely, 2^11132312100 is an apocalyptic number.

11132312100 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 11132312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20746672128).

11132312100 is an abundant number, since it is smaller than the sum of its proper divisors (30361032156).

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

11132312100 is a wasteful number, since it uses less digits than its factorization.

11132312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 277 counting only the distinct ones).

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

Adding to 11132312100 its reverse (121323111), we get a palindrome (11253635211).

The spelling of 11132312100 in words is "eleven billion, one hundred thirty-two million, three hundred twelve thousand, one hundred".