1333248133920 has 384 divisors, whose sum is σ = 4404352942080. Its totient is φ = 338618327040.

The previous prime is 1333248133843. The next prime is 1333248133949. The reversal of 1333248133920 is 293318423331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 255948276 + ... + 255953484.

It is an arithmetic number, because the mean of its divisors is an integer number (11469669120).

Almost surely, 2^{1333248133920} is an apocalyptic number.

1333248133920 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 1333248133920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2202176471040).

1333248133920 is an abundant number, since it is smaller than the sum of its proper divisors (3071104808160).

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

1333248133920 is a wasteful number, since it uses less digits than its factorization.

1333248133920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5520 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 1333248133920 in words is "one trillion, three hundred thirty-three billion, two hundred forty-eight million, one hundred thirty-three thousand, nine hundred twenty".