11331132003300 has 144 divisors (see below), whose sum is σ = 33672943668672. Its totient is φ = 2939783616000.

The previous prime is 11331132003277. The next prime is 11331132003341. The reversal of 11331132003300 is 330023113311.

It is a super-3 number, since 3×11331132003300³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309127774 + ... + 309164426.

It is an arithmetic number, because the mean of its divisors is an integer number (233839886588).

Almost surely, 2^{11331132003300} is an apocalyptic number.

11331132003300 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 11331132003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16836471834336).

11331132003300 is an abundant number, since it is smaller than the sum of its proper divisors (22341811665372).

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

11331132003300 is a wasteful number, since it uses less digits than its factorization.

11331132003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64558 (or 64551 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 11331132003300 its reverse (330023113311), we get a palindrome (11661155116611).

The spelling of 11331132003300 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, three thousand, three hundred".