10032312313 has 2 divisors, whose sum is σ = 10032312314. Its totient is φ = 10032312312.

The previous prime is 10032312259. The next prime is 10032312317. The reversal of 10032312313 is 31321323001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9503910144 + 528402169 = 97488^2 + 22987^2 .

It is a cyclic number.

It is not a de Polignac number, because 10032312313 - 2³³ = 1442377721 is a prime.

It is not a weakly prime, because it can be changed into another prime (10032312317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016156156 + 5016156157.

It is an arithmetic number, because the mean of its divisors is an integer number (5016156157).

Almost surely, 2^10032312313 is an apocalyptic number.

It is an amenable number.

10032312313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032312313 is an equidigital number, since it uses as much as digits as its factorization.

10032312313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 10032312313 its reverse (31321323001), we get a palindrome (41353635314).

The spelling of 10032312313 in words is "ten billion, thirty-two million, three hundred twelve thousand, three hundred thirteen".