2000400133 has 12 divisors (see below), whose sum is σ = 2049243840. Its totient is φ = 1952158200.

The previous prime is 2000400121. The next prime is 2000400139. The reversal of 2000400133 is 3310040002.

It is not a de Polignac number, because 2000400133 - 2²⁵ = 1966845701 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000400139) 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 11 ways as a sum of consecutive naturals, for example, 1344516 + ... + 1346002.

It is an arithmetic number, because the mean of its divisors is an integer number (170770320).

Almost surely, 2^2000400133 is an apocalyptic number.

It is an amenable number.

2000400133 is a deficient number, since it is larger than the sum of its proper divisors (48843707).

2000400133 is an equidigital number, since it uses as much as digits as its factorization.

2000400133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 2000400133 is about 44725.8329492029. The cubic root of 2000400133 is about 1260.0050669570.

Adding to 2000400133 its reverse (3310040002), we get a palindrome (5310440135).

The spelling of 2000400133 in words is "two billion, four hundred thousand, one hundred thirty-three".