10312312131013 has 2 divisors, whose sum is σ = 10312312131014. Its totient is φ = 10312312131012.

The previous prime is 10312312130959. The next prime is 10312312131041. The reversal of 10312312131013 is 31013121321301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9055182327489 + 1257129803524 = 3009183^2 + 1121218^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312312131013 - 2³⁷ = 10174873177541 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10312312137013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5156156065506 + 5156156065507.

It is an arithmetic number, because the mean of its divisors is an integer number (5156156065507).

Almost surely, 2^{10312312131013} is an apocalyptic number.

It is an amenable number.

10312312131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312312131013 is an equidigital number, since it uses as much as digits as its factorization.

10312312131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 10312312131013 its reverse (31013121321301), we get a palindrome (41325433452314).

The spelling of 10312312131013 in words is "ten trillion, three hundred twelve billion, three hundred twelve million, one hundred thirty-one thousand, thirteen".