10313032032313 has 2 divisors, whose sum is σ = 10313032032314. Its totient is φ = 10313032032312.

The previous prime is 10313032032263. The next prime is 10313032032337. The reversal of 10313032032313 is 31323023031301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7008446138409 + 3304585893904 = 2647347^2 + 1817852^2 .

It is a cyclic number.

It is not a de Polignac number, because 10313032032313 - 2³⁷ = 10175593078841 is a prime.

It is a super-2 number, since 2×10313032032313² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10313032032013) 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, 5156516016156 + 5156516016157.

It is an arithmetic number, because the mean of its divisors is an integer number (5156516016157).

Almost surely, 2^{10313032032313} is an apocalyptic number.

It is an amenable number.

10313032032313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10313032032313 is an equidigital number, since it uses as much as digits as its factorization.

10313032032313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 10313032032313 its reverse (31323023031301), we get a palindrome (41636055063614).

The spelling of 10313032032313 in words is "ten trillion, three hundred thirteen billion, thirty-two million, thirty-two thousand, three hundred thirteen".