2120333313313 has 2 divisors, whose sum is σ = 2120333313314. Its totient is φ = 2120333313312.

The previous prime is 2120333313311. The next prime is 2120333313377. The reversal of 2120333313313 is 3133133330212.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1906476085504 + 213857227809 = 1380752^2 + 462447^2 .

It is a cyclic number.

It is not a de Polignac number, because 2120333313313 - 2¹ = 2120333313311 is a prime.

Together with 2120333313311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2120333313311) 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 as a sum of consecutive naturals, namely, 1060166656656 + 1060166656657.

It is an arithmetic number, because the mean of its divisors is an integer number (1060166656657).

Almost surely, 2^{2120333313313} is an apocalyptic number.

It is an amenable number.

2120333313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2120333313313 is an equidigital number, since it uses as much as digits as its factorization.

2120333313313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 28.

Adding to 2120333313313 its reverse (3133133330212), we get a palindrome (5253466643525).

The spelling of 2120333313313 in words is "two trillion, one hundred twenty billion, three hundred thirty-three million, three hundred thirteen thousand, three hundred thirteen".