10312123132013 has 2 divisors, whose sum is σ = 10312123132014. Its totient is φ = 10312123132012.

The previous prime is 10312123131997. The next prime is 10312123132027. The reversal of 10312123132013 is 31023132121301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6746684163844 + 3565438968169 = 2597438^2 + 1888237^2 .

It is an emirp because it is prime and its reverse (31023132121301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10312123132013 - 2⁴ = 10312123131997 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10312123132013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10312123132313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156061566006 + 5156061566007.

It is an arithmetic number, because the mean of its divisors is an integer number (5156061566007).

Almost surely, 2^{10312123132013} is an apocalyptic number.

It is an amenable number.

10312123132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312123132013 is an equidigital number, since it uses as much as digits as its factorization.

10312123132013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 10312123132013 its reverse (31023132121301), we get a palindrome (41335255253314).

The spelling of 10312123132013 in words is "ten trillion, three hundred twelve billion, one hundred twenty-three million, one hundred thirty-two thousand, thirteen".