2120312011313 has 8 divisors (see below), whose sum is σ = 2123006416200. Its totient is φ = 2117619053568.

The previous prime is 2120312011297. The next prime is 2120312011343. The reversal of 2120312011313 is 3131102130212.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 485742090304 + 1634569921009 = 696952^2 + 1278503^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2120312011313 - 2⁴ = 2120312011297 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2120312011343) 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 7 ways as a sum of consecutive naturals, for example, 2585645 + ... + 3305477.

It is an arithmetic number, because the mean of its divisors is an integer number (265375802025).

Almost surely, 2^{2120312011313} is an apocalyptic number.

It is an amenable number.

2120312011313 is a deficient number, since it is larger than the sum of its proper divisors (2694404887).

2120312011313 is a wasteful number, since it uses less digits than its factorization.

2120312011313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723571.

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

Adding to 2120312011313 its reverse (3131102130212), we get a palindrome (5251414141525).

The spelling of 2120312011313 in words is "two trillion, one hundred twenty billion, three hundred twelve million, eleven thousand, three hundred thirteen".