1331223130240 has 128 divisors (see below), whose sum is σ = 3270359185920. Its totient is φ = 517797826560.

The previous prime is 1331223130231. The next prime is 1331223130241. The reversal of 1331223130240 is 420313221331.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (1331223130241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43342729 + ... + 43373431.

It is an arithmetic number, because the mean of its divisors is an integer number (25549681140).

Almost surely, 2^{1331223130240} is an apocalyptic number.

1331223130240 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 1331223130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1635179592960).

1331223130240 is an abundant number, since it is smaller than the sum of its proper divisors (1939136055680).

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

1331223130240 is a wasteful number, since it uses less digits than its factorization.

1331223130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32590 (or 32578 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 1331223130240 its reverse (420313221331), we get a palindrome (1751536351571).

The spelling of 1331223130240 in words is "one trillion, three hundred thirty-one billion, two hundred twenty-three million, one hundred thirty thousand, two hundred forty".