10300013113133 has 2 divisors, whose sum is σ = 10300013113134. Its totient is φ = 10300013113132.

The previous prime is 10300013113069. The next prime is 10300013113163. The reversal of 10300013113133 is 33131131000301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5916462734884 + 4383550378249 = 2432378^2 + 2093693^2 .

It is a cyclic number.

It is not a de Polignac number, because 10300013113133 - 2⁶ = 10300013113069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10300013113163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150006556566 + 5150006556567.

It is an arithmetic number, because the mean of its divisors is an integer number (5150006556567).

Almost surely, 2^{10300013113133} is an apocalyptic number.

It is an amenable number.

10300013113133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10300013113133 is an equidigital number, since it uses as much as digits as its factorization.

10300013113133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 243, while the sum is 20.

Adding to 10300013113133 its reverse (33131131000301), we get a palindrome (43431144113434).

The spelling of 10300013113133 in words is "ten trillion, three hundred billion, thirteen million, one hundred thirteen thousand, one hundred thirty-three".