10012105025513 has 2 divisors, whose sum is σ = 10012105025514. Its totient is φ = 10012105025512.

The previous prime is 10012105025459. The next prime is 10012105025521. The reversal of 10012105025513 is 31552050121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8928813324544 + 1083291700969 = 2988112^2 + 1040813^2 .

It is a cyclic number.

It is not a de Polignac number, because 10012105025513 - 2¹⁴ = 10012105009129 is a prime.

It is not a weakly prime, because it can be changed into another prime (10012105027513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5006052512756 + 5006052512757.

It is an arithmetic number, because the mean of its divisors is an integer number (5006052512757).

Almost surely, 2^{10012105025513} is an apocalyptic number.

It is an amenable number.

10012105025513 is a deficient number, since it is larger than the sum of its proper divisors (1).

10012105025513 is an equidigital number, since it uses as much as digits as its factorization.

10012105025513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1500, while the sum is 26.

Adding to 10012105025513 its reverse (31552050121001), we get a palindrome (41564155146514).

The spelling of 10012105025513 in words is "ten trillion, twelve billion, one hundred five million, twenty-five thousand, five hundred thirteen".