11331211332330 has 288 divisors, whose sum is σ = 30899317857408. Its totient is φ = 2991487075200.

The previous prime is 11331211332317. The next prime is 11331211332341. The reversal of 11331211332330 is 3323311213311.

11331211332330 is a `hidden beast` number, since 1 + 1 + 3 + 312 + 1 + 13 + 3 + 2 + 330 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11331211332294 and 11331211332303.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4323238420 + ... + 4323241040.

It is an arithmetic number, because the mean of its divisors is an integer number (107289298116).

Almost surely, 2^{11331211332330} is an apocalyptic number.

11331211332330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11331211332330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15449658928704).

11331211332330 is an abundant number, since it is smaller than the sum of its proper divisors (19568106525078).

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

11331211332330 is an equidigital number, since it uses as much as digits as its factorization.

11331211332330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11331211332330 its reverse (3323311213311), we get a palindrome (14654522545641).

The spelling of 11331211332330 in words is "eleven trillion, three hundred thirty-one billion, two hundred eleven million, three hundred thirty-two thousand, three hundred thirty".