2001310315157 has 2 divisors, whose sum is σ = 2001310315158. Its totient is φ = 2001310315156.

The previous prime is 2001310315129. The next prime is 2001310315159. The reversal of 2001310315157 is 7515130131002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1677519726481 + 323790588676 = 1295191^2 + 569026^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001310315157 - 2¹⁸ = 2001310053013 is a prime.

Together with 2001310315159, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2001310315159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000655157578 + 1000655157579.

It is an arithmetic number, because the mean of its divisors is an integer number (1000655157579).

Almost surely, 2^{2001310315157} is an apocalyptic number.

It is an amenable number.

2001310315157 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001310315157 is an equidigital number, since it uses as much as digits as its factorization.

2001310315157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 29.

Adding to 2001310315157 its reverse (7515130131002), we get a palindrome (9516440446159).

The spelling of 2001310315157 in words is "two trillion, one billion, three hundred ten million, three hundred fifteen thousand, one hundred fifty-seven".