10301133210013 has 2 divisors, whose sum is σ = 10301133210014. Its totient is φ = 10301133210012.

The previous prime is 10301133209957. The next prime is 10301133210059. The reversal of 10301133210013 is 31001233110301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7280617820644 + 3020515389369 = 2698262^2 + 1737963^2 .

It is a cyclic number.

It is not a de Polignac number, because 10301133210013 - 2⁹ = 10301133209501 is a prime.

It is a super-4 number, since 4×10301133210013⁴ (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10301133210413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5150566605006 + 5150566605007.

It is an arithmetic number, because the mean of its divisors is an integer number (5150566605007).

Almost surely, 2^{10301133210013} is an apocalyptic number.

It is an amenable number.

10301133210013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10301133210013 is an equidigital number, since it uses as much as digits as its factorization.

10301133210013 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 10301133210013 its reverse (31001233110301), we get a palindrome (41302366320314).

The spelling of 10301133210013 in words is "ten trillion, three hundred one billion, one hundred thirty-three million, two hundred ten thousand, thirteen".