1331123333120 has 192 divisors, whose sum is σ = 3687839850240. Its totient is φ = 451677782016.

The previous prime is 1331123333117. The next prime is 1331123333149. The reversal of 1331123333120 is 213333211331.

It is a self number, because there is not a number n which added to its sum of digits gives 1331123333120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6857237 + ... + 7048683.

It is an arithmetic number, because the mean of its divisors is an integer number (19207499220).

Almost surely, 2^{1331123333120} is an apocalyptic number.

1331123333120 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 1331123333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843919925120).

1331123333120 is an abundant number, since it is smaller than the sum of its proper divisors (2356716517120).

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

1331123333120 is an equidigital number, since it uses as much as digits as its factorization.

1331123333120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191578 (or 191558 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 1331123333120 its reverse (213333211331), we get a palindrome (1544456544451).

The spelling of 1331123333120 in words is "one trillion, three hundred thirty-one billion, one hundred twenty-three million, three hundred thirty-three thousand, one hundred twenty".