11332232330100 has 288 divisors, whose sum is σ = 36135815409792. Its totient is φ = 2719027200000.

The previous prime is 11332232330077. The next prime is 11332232330101. The reversal of 11332232330100 is 103323223311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332232330101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1413521292 + ... + 1413529308.

It is an arithmetic number, because the mean of its divisors is an integer number (125471581284).

Almost surely, 2^{11332232330100} is an apocalyptic number.

11332232330100 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 11332232330100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18067907704896).

11332232330100 is an abundant number, since it is smaller than the sum of its proper divisors (24803583079692).

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

11332232330100 is a wasteful number, since it uses less digits than its factorization.

11332232330100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12387 (or 12380 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 11332232330100 its reverse (103323223311), we get a palindrome (11435555553411).

The spelling of 11332232330100 in words is "eleven trillion, three hundred thirty-two billion, two hundred thirty-two million, three hundred thirty thousand, one hundred".