10200120013 has 2 divisors, whose sum is σ = 10200120014. Its totient is φ = 10200120012.

The previous prime is 10200120001. The next prime is 10200120053. The reversal of 10200120013 is 31002100201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9565231204 + 634888809 = 97802^2 + 25197^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200120013 - 2⁵ = 10200119981 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200120053) 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, 5100060006 + 5100060007.

It is an arithmetic number, because the mean of its divisors is an integer number (5100060007).

Almost surely, 2^10200120013 is an apocalyptic number.

It is an amenable number.

10200120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200120013 is an equidigital number, since it uses as much as digits as its factorization.

10200120013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10200120013 its reverse (31002100201), we get a palindrome (41202220214).

The spelling of 10200120013 in words is "ten billion, two hundred million, one hundred twenty thousand, thirteen".