23131013002313 has 2 divisors, whose sum is σ = 23131013002314. Its totient is φ = 23131013002312.

The previous prime is 23131013002309. The next prime is 23131013002453. The reversal of 23131013002313 is 31320031013132.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19811285274169 + 3319727728144 = 4450987^2 + 1822012^2 .

It is a cyclic number.

It is not a de Polignac number, because 23131013002313 - 2² = 23131013002309 is a prime.

It is a super-2 number, since 2×23131013002313² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (23131013002303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11565506501156 + 11565506501157.

It is an arithmetic number, because the mean of its divisors is an integer number (11565506501157).

Almost surely, 2^{23131013002313} is an apocalyptic number.

It is an amenable number.

23131013002313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23131013002313 is an equidigital number, since it uses as much as digits as its factorization.

23131013002313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 23131013002313 its reverse (31320031013132), we get a palindrome (54451044015445).

The spelling of 23131013002313 in words is "twenty-three trillion, one hundred thirty-one billion, thirteen million, two thousand, three hundred thirteen".