2001310313081 has 2 divisors, whose sum is σ = 2001310313082. Its totient is φ = 2001310313080.

The previous prime is 2001310313063. The next prime is 2001310313083. The reversal of 2001310313081 is 1803130131002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1964177023081 + 37133290000 = 1401491^2 + 192700^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001310313081 - 2¹⁸ = 2001310050937 is a prime.

It is a super-2 number, since 2×2001310313081² (a number of 25 digits) contains 22 as substring.

Together with 2001310313083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (2001310313083) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000655156540 + 1000655156541.

It is an arithmetic number, because the mean of its divisors is an integer number (1000655156541).

Almost surely, 2^{2001310313081} is an apocalyptic number.

It is an amenable number.

2001310313081 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001310313081 is an equidigital number, since it uses as much as digits as its factorization.

2001310313081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 432, while the sum is 23.

Adding to 2001310313081 its reverse (1803130131002), we get a palindrome (3804440444083).

The spelling of 2001310313081 in words is "two trillion, one billion, three hundred ten million, three hundred thirteen thousand, eighty-one".