11331223133220 has 240 divisors, whose sum is σ = 36781901956800. Its totient is φ = 2916695174400.

The previous prime is 11331223133201. The next prime is 11331223133239. The reversal of 11331223133220 is 2233132213311.

11331223133220 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 22 + 313 + 322 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11331223133201) and next prime (11331223133239).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 190286211 + ... + 190345749.

It is an arithmetic number, because the mean of its divisors is an integer number (153257924820).

Almost surely, 2^{11331223133220} is an apocalyptic number.

11331223133220 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 11331223133220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18390950978400).

11331223133220 is an abundant number, since it is smaller than the sum of its proper divisors (25450678823580).

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

11331223133220 is a wasteful number, since it uses less digits than its factorization.

11331223133220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63640 (or 63629 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11331223133220 its reverse (2233132213311), we get a palindrome (13564355346531).

The spelling of 11331223133220 in words is "eleven trillion, three hundred thirty-one billion, two hundred twenty-three million, one hundred thirty-three thousand, two hundred twenty".