2313312600113 has 2 divisors, whose sum is σ = 2313312600114. Its totient is φ = 2313312600112.

The previous prime is 2313312600101. The next prime is 2313312600121. The reversal of 2313312600113 is 3110062133132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1379891897344 + 933420702769 = 1174688^2 + 966137^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313312600113 - 2¹⁰ = 2313312599089 is a prime.

It is a super-2 number, since 2×2313312600113² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2313312600143) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156656300056 + 1156656300057.

It is an arithmetic number, because the mean of its divisors is an integer number (1156656300057).

Almost surely, 2^{2313312600113} is an apocalyptic number.

It is an amenable number.

2313312600113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313312600113 is an equidigital number, since it uses as much as digits as its factorization.

2313312600113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 2313312600113 its reverse (3110062133132), we get a palindrome (5423374733245).

The spelling of 2313312600113 in words is "two trillion, three hundred thirteen billion, three hundred twelve million, six hundred thousand, one hundred thirteen".