10013133113 has 2 divisors, whose sum is σ = 10013133114. Its totient is φ = 10013133112.

The previous prime is 10013133073. The next prime is 10013133149. The reversal of 10013133113 is 31133131001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8373531049 + 1639602064 = 91507^2 + 40492^2 .

It is a cyclic number.

It is not a de Polignac number, because 10013133113 - 2¹⁸ = 10012870969 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10013133091 and 10013133100.

It is not a weakly prime, because it can be changed into another prime (10013139113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006566556 + 5006566557.

It is an arithmetic number, because the mean of its divisors is an integer number (5006566557).

Almost surely, 2^10013133113 is an apocalyptic number.

It is an amenable number.

10013133113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10013133113 is an equidigital number, since it uses as much as digits as its factorization.

10013133113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 10013133113 its reverse (31133131001), we get a palindrome (41146264114).

The spelling of 10013133113 in words is "ten billion, thirteen million, one hundred thirty-three thousand, one hundred thirteen".