1031312131013 has 2 divisors, whose sum is σ = 1031312131014. Its totient is φ = 1031312131012.

The previous prime is 1031312130983. The next prime is 1031312131027. The reversal of 1031312131013 is 3101312131301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 628217930404 + 403094200609 = 792602^2 + 634897^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031312131013 - 2¹⁶ = 1031312065477 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1031312131513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 515656065506 + 515656065507.

It is an arithmetic number, because the mean of its divisors is an integer number (515656065507).

Almost surely, 2^{1031312131013} is an apocalyptic number.

It is an amenable number.

1031312131013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1031312131013 is an equidigital number, since it uses as much as digits as its factorization.

1031312131013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 1031312131013 its reverse (3101312131301), we get a palindrome (4132624262314).

The spelling of 1031312131013 in words is "one trillion, thirty-one billion, three hundred twelve million, one hundred thirty-one thousand, thirteen".