11331132003296 has 96 divisors (see below), whose sum is σ = 26104151102400. Its totient is φ = 4839623996928.

The previous prime is 11331132003277. The next prime is 11331132003341. The reversal of 11331132003296 is 69230023113311.

It is a super-2 number, since 2×11331132003296² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1454270 + ... + 4977666.

It is an arithmetic number, because the mean of its divisors is an integer number (271918240650).

Almost surely, 2^{11331132003296} is an apocalyptic number.

11331132003296 is a gapful number since it is divisible by the number (16) 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 11331132003296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13052075551200).

11331132003296 is an abundant number, since it is smaller than the sum of its proper divisors (14773019099104).

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

11331132003296 is an equidigital number, since it uses as much as digits as its factorization.

11331132003296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3523721 (or 3523699 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 35.

The spelling of 11331132003296 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty-two million, three thousand, two hundred ninety-six".