10312010131001 has 2 divisors, whose sum is σ = 10312010131002. Its totient is φ = 10312010131000.

The previous prime is 10312010130991. The next prime is 10312010131009. The reversal of 10312010131001 is 10013101021301.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10145346150976 + 166663980025 = 3185176^2 + 408245^2 .

It is a cyclic number.

It is not a de Polignac number, because 10312010131001 - 2¹⁰ = 10312010129977 is a prime.

It is a super-2 number, since 2×10312010131001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10312010131009) 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, 5156005065500 + 5156005065501.

It is an arithmetic number, because the mean of its divisors is an integer number (5156005065501).

Almost surely, 2^{10312010131001} is an apocalyptic number.

It is an amenable number.

10312010131001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10312010131001 is an equidigital number, since it uses as much as digits as its factorization.

10312010131001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10312010131001 its reverse (10013101021301), we get a palindrome (20325111152302).

The spelling of 10312010131001 in words is "ten trillion, three hundred twelve billion, ten million, one hundred thirty-one thousand, one".