2122133013 has 120 divisors (see below), whose sum is σ = 4333523040. Its totient is φ = 1017334080.

The previous prime is 2122132951. The next prime is 2122133021. The reversal of 2122133013 is 3103312212.

It is not a de Polignac number, because 2122133013 - 2⁸ = 2122132757 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122133513) 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 119 ways as a sum of consecutive naturals, for example, 565698 + ... + 569436.

It is an arithmetic number, because the mean of its divisors is an integer number (36112692).

Almost surely, 2^2122133013 is an apocalyptic number.

It is an amenable number.

2122133013 is an abundant number, since it is smaller than the sum of its proper divisors (2211390027).

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

2122133013 is a wasteful number, since it uses less digits than its factorization.

2122133013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3773 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2122133013 is about 46066.6149505257. The cubic root of 2122133013 is about 1285.0623522965.

Adding to 2122133013 its reverse (3103312212), we get a palindrome (5225445225).

The spelling of 2122133013 in words is "two billion, one hundred twenty-two million, one hundred thirty-three thousand, thirteen".