10121313313 has 2 divisors, whose sum is σ = 10121313314. Its totient is φ = 10121313312.

The previous prime is 10121313299. The next prime is 10121313317. The reversal of 10121313313 is 31331312101.

10121313313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8101440064 + 2019873249 = 90008^2 + 44943^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121313313 - 2¹³ = 10121305121 is a prime.

It is a super-2 number, since 2×10121313313² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10121313317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060656656 + 5060656657.

It is an arithmetic number, because the mean of its divisors is an integer number (5060656657).

Almost surely, 2^10121313313 is an apocalyptic number.

It is an amenable number.

10121313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121313313 is an equidigital number, since it uses as much as digits as its factorization.

10121313313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10121313313 its reverse (31331312101), we get a palindrome (41452625414).

The spelling of 10121313313 in words is "ten billion, one hundred twenty-one million, three hundred thirteen thousand, three hundred thirteen".