2313133221017 has 2 divisors, whose sum is σ = 2313133221018. Its totient is φ = 2313133221016.

The previous prime is 2313133221001. The next prime is 2313133221029. The reversal of 2313133221017 is 7101223313132.

2313133221017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1272088481161 + 1041044739856 = 1127869^2 + 1020316^2 .

It is a cyclic number.

It is not a de Polignac number, because 2313133221017 - 2⁴ = 2313133221001 is a prime.

It is not a weakly prime, because it can be changed into another prime (2313133221317) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1156566610508 + 1156566610509.

It is an arithmetic number, because the mean of its divisors is an integer number (1156566610509).

Almost surely, 2^{2313133221017} is an apocalyptic number.

It is an amenable number.

2313133221017 is a deficient number, since it is larger than the sum of its proper divisors (1).

2313133221017 is an equidigital number, since it uses as much as digits as its factorization.

2313133221017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 29.

Adding to 2313133221017 its reverse (7101223313132), we get a palindrome (9414356534149).

The spelling of 2313133221017 in words is "two trillion, three hundred thirteen billion, one hundred thirty-three million, two hundred twenty-one thousand, seventeen".