2133121000 has 32 divisors (see below), whose sum is σ = 4991505480. Its totient is φ = 853248000.

The previous prime is 2133120973. The next prime is 2133121021. The reversal of 2133121000 is 1213312.

It can be written as a sum of positive squares in 4 ways, for example, as 1388158564 + 744962436 = 37258^2 + 27294^2 .

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, 1065561 + ... + 1067560.

Almost surely, 2^2133121000 is an apocalyptic number.

2133121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2133121000 is an abundant number, since it is smaller than the sum of its proper divisors (2858384480).

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

2133121000 is a wasteful number, since it uses less digits than its factorization.

2133121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133142 (or 2133128 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2133121000 is about 46185.7229022130. The cubic root of 2133121000 is about 1287.2764685614.

Adding to 2133121000 its reverse (1213312), we get a palindrome (2134334312).

It can be divided in two parts, 213 and 3121000, that added together give a palindrome (3121213).

The spelling of 2133121000 in words is "two billion, one hundred thirty-three million, one hundred twenty-one thousand".