2122120133213 has 16 divisors (see below), whose sum is σ = 2235502523520. Its totient is φ = 2008907591616.

The previous prime is 2122120133183. The next prime is 2122120133219. The reversal of 2122120133213 is 3123310212212.

It is a cyclic number.

It is not a de Polignac number, because 2122120133213 - 2¹⁴ = 2122120116829 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 (2122120133219) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173044520 + ... + 173056782.

It is an arithmetic number, because the mean of its divisors is an integer number (139718907720).

Almost surely, 2^{2122120133213} is an apocalyptic number.

It is an amenable number.

2122120133213 is a deficient number, since it is larger than the sum of its proper divisors (113382390307).

2122120133213 is a wasteful number, since it uses less digits than its factorization.

2122120133213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18436.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 2122120133213 its reverse (3123310212212), we get a palindrome (5245430345425).

The spelling of 2122120133213 in words is "two trillion, one hundred twenty-two billion, one hundred twenty million, one hundred thirty-three thousand, two hundred thirteen".