1333313000 has 32 divisors (see below), whose sum is σ = 3119954760. Its totient is φ = 533324800.

The previous prime is 1333312999. The next prime is 1333313017. The reversal of 1333313000 is 3133331.

1333313000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 170093764 + 1163219236 = 13042^2 + 34106^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1333313000.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 665657 + ... + 667656.

Almost surely, 2^1333313000 is an apocalyptic number.

1333313000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1333313000 is an abundant number, since it is smaller than the sum of its proper divisors (1786641760).

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

1333313000 is a wasteful number, since it uses less digits than its factorization.

1333313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333334 (or 1333320 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 17.

The square root of 1333313000 is about 36514.5587403162. The cubic root of 1333313000 is about 1100.6368213375.

Adding to 1333313000 its reverse (3133331), we get a palindrome (1336446331).

It can be divided in two parts, 133 and 3313000, that added together give a palindrome (3313133).

The spelling of 1333313000 in words is "one billion, three hundred thirty-three million, three hundred thirteen thousand".