10501261313 has 2 divisors, whose sum is σ = 10501261314. Its totient is φ = 10501261312.

The previous prime is 10501261307. The next prime is 10501261333. The reversal of 10501261313 is 31316210501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5832682384 + 4668578929 = 76372^2 + 68327^2 .

It is a cyclic number.

It is not a de Polignac number, because 10501261313 - 2⁶ = 10501261249 is a prime.

It is a super-2 number, since 2×10501261313² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10501261333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5250630656 + 5250630657.

It is an arithmetic number, because the mean of its divisors is an integer number (5250630657).

Almost surely, 2^10501261313 is an apocalyptic number.

It is an amenable number.

10501261313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10501261313 is an equidigital number, since it uses as much as digits as its factorization.

10501261313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 23.

Adding to 10501261313 its reverse (31316210501), we get a palindrome (41817471814).

The spelling of 10501261313 in words is "ten billion, five hundred one million, two hundred sixty-one thousand, three hundred thirteen".