11327129100 has 576 divisors, whose sum is σ = 43275008000. Its totient is φ = 2571912000.

The previous prime is 11327129039. The next prime is 11327129113. The reversal of 11327129100 is 192172311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75014025 + ... + 75014175.

Almost surely, 2^11327129100 is an apocalyptic number.

11327129100 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 11327129100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21637504000).

11327129100 is an abundant number, since it is smaller than the sum of its proper divisors (31947878900).

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

11327129100 is an equidigital number, since it uses as much as digits as its factorization.

11327129100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The spelling of 11327129100 in words is "eleven billion, three hundred twenty-seven million, one hundred twenty-nine thousand, one hundred".