11332000133104 has 80 divisors (see below), whose sum is σ = 25363196651520. Its totient is φ = 4804238776320.

The previous prime is 11332000133101. The next prime is 11332000133107. The reversal of 11332000133104 is 40133100023311.

It is an interprime number because it is at equal distance from previous prime (11332000133101) and next prime (11332000133107).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332000133101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10188249 + ... + 11245639.

It is an arithmetic number, because the mean of its divisors is an integer number (317039958144).

Almost surely, 2^{11332000133104} is an apocalyptic number.

11332000133104 is a gapful number since it is divisible by the number (14) 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 11332000133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12681598325760).

11332000133104 is an abundant number, since it is smaller than the sum of its proper divisors (14031196518416).

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

11332000133104 is a wasteful number, since it uses less digits than its factorization.

11332000133104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1058438 (or 1058432 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 11332000133104 its reverse (40133100023311), we get a palindrome (51465100156415).

The spelling of 11332000133104 in words is "eleven trillion, three hundred thirty-two billion, one hundred thirty-three thousand, one hundred four".