1333200002000 has 80 divisors (see below), whose sum is σ = 3229345875600. Its totient is φ = 532342323200.

The previous prime is 1333200001981. The next prime is 1333200002023. The reversal of 1333200002000 is 2000023331.

It can be written as a sum of positive squares in 8 ways, for example, as 808172232256 + 525027769744 = 898984^2 + 724588^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 552236 + ... + 1723764.

It is an arithmetic number, because the mean of its divisors is an integer number (40366823445).

Almost surely, 2^{1333200002000} is an apocalyptic number.

1333200002000 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 1333200002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614672937800).

1333200002000 is an abundant number, since it is smaller than the sum of its proper divisors (1896145873600).

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

1333200002000 is a wasteful number, since it uses less digits than its factorization.

1333200002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172121 (or 1172105 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 1333200002000 its reverse (2000023331), we get a palindrome (1335200025331).

The spelling of 1333200002000 in words is "one trillion, three hundred thirty-three billion, two hundred million, two thousand".