2122132213313 has 16 divisors (see below), whose sum is σ = 2460347986176. Its totient is φ = 1792698593280.

The previous prime is 2122132213277. The next prime is 2122132213321. The reversal of 2122132213313 is 3133122312212.

It is not a de Polignac number, because 2122132213313 - 2⁶ = 2122132213249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2122132203313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592745 + ... + 2143737.

It is an arithmetic number, because the mean of its divisors is an integer number (153771749136).

Almost surely, 2^{2122132213313} is an apocalyptic number.

It is an amenable number.

2122132213313 is a deficient number, since it is larger than the sum of its proper divisors (338215772863).

2122132213313 is a wasteful number, since it uses less digits than its factorization.

2122132213313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553824.

The product of its digits is 2592, while the sum is 26.

Adding to 2122132213313 its reverse (3133122312212), we get a palindrome (5255254525525).

The spelling of 2122132213313 in words is "two trillion, one hundred twenty-two billion, one hundred thirty-two million, two hundred thirteen thousand, three hundred thirteen".