10271517313 has 2 divisors, whose sum is σ = 10271517314. Its totient is φ = 10271517312.

The previous prime is 10271517301. The next prime is 10271517359. The reversal of 10271517313 is 31371517201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6263614449 + 4007902864 = 79143^2 + 63308^2 .

It is a cyclic number.

It is not a de Polignac number, because 10271517313 - 2⁵ = 10271517281 is a prime.

It is a super-2 number, since 2×10271517313² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10271517383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5135758656 + 5135758657.

It is an arithmetic number, because the mean of its divisors is an integer number (5135758657).

Almost surely, 2^10271517313 is an apocalyptic number.

It is an amenable number.

10271517313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10271517313 is an equidigital number, since it uses as much as digits as its factorization.

10271517313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4410, while the sum is 31.

The spelling of 10271517313 in words is "ten billion, two hundred seventy-one million, five hundred seventeen thousand, three hundred thirteen".