10121013313 has 2 divisors, whose sum is σ = 10121013314. Its totient is φ = 10121013312.

The previous prime is 10121013299. The next prime is 10121013319. The reversal of 10121013313 is 31331012101.

10121013313 is digitally balanced in base 3, 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., 10049661504 + 71351809 = 100248^2 + 8447^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121013313 - 2⁹ = 10121012801 is a prime.

It is not a weakly prime, because it can be changed into another prime (10121013319) 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, 5060506656 + 5060506657.

It is an arithmetic number, because the mean of its divisors is an integer number (5060506657).

Almost surely, 2^10121013313 is an apocalyptic number.

It is an amenable number.

10121013313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121013313 is an equidigital number, since it uses as much as digits as its factorization.

10121013313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10121013313 its reverse (31331012101), we get a palindrome (41452025414).

The spelling of 10121013313 in words is "ten billion, one hundred twenty-one million, thirteen thousand, three hundred thirteen".