2313133101313 has 2 divisors, whose sum is σ = 2313133101314. Its totient is φ = 2313133101312.

The previous prime is 2313133101311. The next prime is 2313133101337. The reversal of 2313133101313 is 3131013313132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1271443421889 + 1041689679424 = 1127583^2 + 1020632^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313133101313 - 2¹ = 2313133101311 is a prime.

Together with 2313133101311, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2313133101311) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156566550656 + 1156566550657.

It is an arithmetic number, because the mean of its divisors is an integer number (1156566550657).

Almost surely, 2^{2313133101313} is an apocalyptic number.

It is an amenable number.

2313133101313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313133101313 is an equidigital number, since it uses as much as digits as its factorization.

2313133101313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 25.

Adding to 2313133101313 its reverse (3131013313132), we get a palindrome (5444146414445).

The spelling of 2313133101313 in words is "two trillion, three hundred thirteen billion, one hundred thirty-three million, one hundred one thousand, three hundred thirteen".