10002130242113 has 2 divisors, whose sum is σ = 10002130242114. Its totient is φ = 10002130242112.

The previous prime is 10002130242103. The next prime is 10002130242131. The reversal of 10002130242113 is 31124203120001.

Together with next prime (10002130242131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5943005357584 + 4059124884529 = 2437828^2 + 2014727^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10002130242113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10002130242103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001065121056 + 5001065121057.

It is an arithmetic number, because the mean of its divisors is an integer number (5001065121057).

Almost surely, 2^{10002130242113} is an apocalyptic number.

It is an amenable number.

10002130242113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002130242113 is an equidigital number, since it uses as much as digits as its factorization.

10002130242113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10002130242113 its reverse (31124203120001), we get a palindrome (41126333362114).

The spelling of 10002130242113 in words is "ten trillion, two billion, one hundred thirty million, two hundred forty-two thousand, one hundred thirteen".