2312334330013 has 16 divisors (see below), whose sum is σ = 2377955761776. Its totient is φ = 2247159490560.

The previous prime is 2312334329953. The next prime is 2312334330067. The reversal of 2312334330013 is 3100334332132.

2312334330013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 480474944569 + 1831859385444 = 693163^2 + 1353462^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2312334330013 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 (2312334330113) 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, 25626745 + ... + 25716817.

It is an arithmetic number, because the mean of its divisors is an integer number (148622235111).

Almost surely, 2^{2312334330013} is an apocalyptic number.

It is an amenable number.

2312334330013 is a deficient number, since it is larger than the sum of its proper divisors (65621431763).

2312334330013 is a wasteful number, since it uses less digits than its factorization.

2312334330013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92544.

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 2312334330013 its reverse (3100334332132), we get a palindrome (5412668662145).

The spelling of 2312334330013 in words is "two trillion, three hundred twelve billion, three hundred thirty-four million, three hundred thirty thousand, thirteen".