2133313101 has 12 divisors (see below), whose sum is σ = 3108723228. Its totient is φ = 1409622144.

The previous prime is 2133313099. The next prime is 2133313111. The reversal of 2133313101 is 1013133312.

It is a happy number.

2133313101 is a `hidden beast` number, since 21 + 3 + 331 + 310 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1117297476 + 1016015625 = 33426^2 + 31875^2 .

It is not a de Polignac number, because 2133313101 - 2¹ = 2133313099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2133313111) 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, 1047810 + ... + 1049843.

It is an arithmetic number, because the mean of its divisors is an integer number (259060269).

Almost surely, 2^2133313101 is an apocalyptic number.

It is an amenable number.

2133313101 is a deficient number, since it is larger than the sum of its proper divisors (975410127).

2133313101 is a wasteful number, since it uses less digits than its factorization.

2133313101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097772 (or 2097769 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 2133313101 is about 46187.8025132177. The cubic root of 2133313101 is about 1287.3151098565.

Adding to 2133313101 its reverse (1013133312), we get a palindrome (3146446413).

The spelling of 2133313101 in words is "two billion, one hundred thirty-three million, three hundred thirteen thousand, one hundred one".