2033313000 has 256 divisors, whose sum is σ = 6629575680. Its totient is φ = 518400000.

The previous prime is 2033312977. The next prime is 2033313017. The reversal of 2033313000 is 3133302.

2033313000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7502865 + ... + 7503135.

It is an arithmetic number, because the mean of its divisors is an integer number (25896780).

Almost surely, 2^2033313000 is an apocalyptic number.

2033313000 is a gapful number since it is divisible by the number (20) 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 2033313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3314787840).

2033313000 is an abundant number, since it is smaller than the sum of its proper divisors (4596262680).

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

2033313000 is a wasteful number, since it uses less digits than its factorization.

2033313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 15.

The square root of 2033313000 is about 45092.2720651776. The cubic root of 2033313000 is about 1266.8778579840.

Adding to 2033313000 its reverse (3133302), we get a palindrome (2036446302).

It can be divided in two parts, 20333 and 13000, that added together give a palindrome (33333).

The spelling of 2033313000 in words is "two billion, thirty-three million, three hundred thirteen thousand".