1331223113220 has 1536 divisors, whose sum is σ = 5549606092800. Its totient is φ = 229323571200.

The previous prime is 1331223113219. The next prime is 1331223113221. The reversal of 1331223113220 is 223113221331.

It is an interprime number because it is at equal distance from previous prime (1331223113219) and next prime (1331223113221).

It is a super-2 number, since 2×1331223113220² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331223113221) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 1731108996 + ... + 1731109764.

It is an arithmetic number, because the mean of its divisors is an integer number (3613024800).

Almost surely, 2^{1331223113220} is an apocalyptic number.

1331223113220 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 1331223113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2774803046400).

1331223113220 is an abundant number, since it is smaller than the sum of its proper divisors (4218382979580).

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

1331223113220 is a wasteful number, since it uses less digits than its factorization.

1331223113220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 907 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1331223113220 its reverse (223113221331), we get a palindrome (1554336334551).

The spelling of 1331223113220 in words is "one trillion, three hundred thirty-one billion, two hundred twenty-three million, one hundred thirteen thousand, two hundred twenty".