1333013313000 has 128 divisors (see below), whose sum is σ = 4161465360000. Its totient is φ = 355259635200.

The previous prime is 1333013312993. The next prime is 1333013313007. The reversal of 1333013313000 is 3133103331.

It is an interprime number because it is at equal distance from previous prime (1333013312993) and next prime (1333013313007).

It is not an unprimeable number, because it can be changed into a prime (1333013313007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4966236 + ... + 5227764.

It is an arithmetic number, because the mean of its divisors is an integer number (32511448125).

Almost surely, 2^{1333013313000} is an apocalyptic number.

1333013313000 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 1333013313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2080732680000).

1333013313000 is an abundant number, since it is smaller than the sum of its proper divisors (2828452047000).

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

1333013313000 is a wasteful number, since it uses less digits than its factorization.

1333013313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263252 (or 263238 counting only the distinct ones).

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 1333013313000 its reverse (3133103331), we get a palindrome (1336146416331).

The spelling of 1333013313000 in words is "one trillion, three hundred thirty-three billion, thirteen million, three hundred thirteen thousand".