1333332102000 has 160 divisors (see below), whose sum is σ = 4299679088640. Its totient is φ = 355471161600.

The previous prime is 1333332101999. The next prime is 1333332102001. The reversal of 1333332102000 is 2012333331.

It is an interprime number because it is at equal distance from previous prime (1333332101999) and next prime (1333332102001).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1333332102001) 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 31 ways as a sum of consecutive naturals, for example, 27810049 + ... + 27857951.

It is an arithmetic number, because the mean of its divisors is an integer number (26872994304).

Almost surely, 2^{1333332102000} is an apocalyptic number.

1333332102000 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 1333332102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149839544320).

1333332102000 is an abundant number, since it is smaller than the sum of its proper divisors (2966346986640).

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

1333332102000 is a wasteful number, since it uses less digits than its factorization.

1333332102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52568 (or 52552 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 1333332102000 its reverse (2012333331), we get a palindrome (1335344435331).

The spelling of 1333332102000 in words is "one trillion, three hundred thirty-three billion, three hundred thirty-two million, one hundred two thousand".