2313133131313 has 2 divisors, whose sum is σ = 2313133131314. Its totient is φ = 2313133131312.

The previous prime is 2313133131271. The next prime is 2313133131319. The reversal of 2313133131313 is 3131313313132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2179131011344 + 134002119969 = 1476188^2 + 366063^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313133131313 - 2³⁷ = 2175694177841 is a prime.

It is a super-2 number, since 2×2313133131313² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2313133131319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156566565656 + 1156566565657.

It is an arithmetic number, because the mean of its divisors is an integer number (1156566565657).

Almost surely, 2^{2313133131313} is an apocalyptic number.

It is an amenable number.

2313133131313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313133131313 is an equidigital number, since it uses as much as digits as its factorization.

2313133131313 is an evil number, because the sum of its binary digits is even.

The product of its digits is 4374, while the sum is 28.

Adding to 2313133131313 its reverse (3131313313132), we get a palindrome (5444446444445).

The spelling of 2313133131313 in words is "two trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred thirty-one thousand, three hundred thirteen".