2121001123313 has 2 divisors, whose sum is σ = 2121001123314. Its totient is φ = 2121001123312.

The previous prime is 2121001123259. The next prime is 2121001123391. The reversal of 2121001123313 is 3133211001212.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1788553167424 + 332447955889 = 1337368^2 + 576583^2 .

It is a cyclic number.

It is not a de Polignac number, because 2121001123313 - 2⁸ = 2121001123057 is a prime.

It is not a weakly prime, because it can be changed into another prime (2121001122313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1060500561656 + 1060500561657.

It is an arithmetic number, because the mean of its divisors is an integer number (1060500561657).

Almost surely, 2^{2121001123313} is an apocalyptic number.

It is an amenable number.

2121001123313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2121001123313 is an equidigital number, since it uses as much as digits as its factorization.

2121001123313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 2121001123313 its reverse (3133211001212), we get a palindrome (5254212124525).

The spelling of 2121001123313 in words is "two trillion, one hundred twenty-one billion, one million, one hundred twenty-three thousand, three hundred thirteen".