10131010210313 has 2 divisors, whose sum is σ = 10131010210314. Its totient is φ = 10131010210312.

The previous prime is 10131010210271. The next prime is 10131010210499. The reversal of 10131010210313 is 31301201013101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9728086144144 + 402924066169 = 3118988^2 + 634763^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10131010210313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131010210291 and 10131010210300.

It is not a weakly prime, because it can be changed into another prime (10131010210613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5065505105156 + 5065505105157.

It is an arithmetic number, because the mean of its divisors is an integer number (5065505105157).

Almost surely, 2^{10131010210313} is an apocalyptic number.

It is an amenable number.

10131010210313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131010210313 is an equidigital number, since it uses as much as digits as its factorization.

10131010210313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10131010210313 its reverse (31301201013101), we get a palindrome (41432211223414).

The spelling of 10131010210313 in words is "ten trillion, one hundred thirty-one billion, ten million, two hundred ten thousand, three hundred thirteen".