23013110322313 has 2 divisors, whose sum is σ = 23013110322314. Its totient is φ = 23013110322312.

The previous prime is 23013110322259. The next prime is 23013110322337. The reversal of 23013110322313 is 31322301131032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12659954634889 + 10353155687424 = 3558083^2 + 3217632^2 .

It is a cyclic number.

It is not a de Polignac number, because 23013110322313 - 2¹³ = 23013110314121 is a prime.

It is not a weakly prime, because it can be changed into another prime (23013110322343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11506555161156 + 11506555161157.

It is an arithmetic number, because the mean of its divisors is an integer number (11506555161157).

Almost surely, 2^{23013110322313} is an apocalyptic number.

It is an amenable number.

23013110322313 is a deficient number, since it is larger than the sum of its proper divisors (1).

23013110322313 is an equidigital number, since it uses as much as digits as its factorization.

23013110322313 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 25.

Adding to 23013110322313 its reverse (31322301131032), we get a palindrome (54335411453345).

The spelling of 23013110322313 in words is "twenty-three trillion, thirteen billion, one hundred ten million, three hundred twenty-two thousand, three hundred thirteen".