10202100120013 has 2 divisors, whose sum is σ = 10202100120014. Its totient is φ = 10202100120012.

The previous prime is 10202100119989. The next prime is 10202100120053. The reversal of 10202100120013 is 31002100120201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9568616249124 + 633483870889 = 3093318^2 + 795917^2 .

It is a cyclic number.

It is not a de Polignac number, because 10202100120013 - 2⁹ = 10202100119501 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10202100119975 and 10202100120002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10202100120053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5101050060006 + 5101050060007.

It is an arithmetic number, because the mean of its divisors is an integer number (5101050060007).

Almost surely, 2^{10202100120013} is an apocalyptic number.

It is an amenable number.

10202100120013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10202100120013 is an equidigital number, since it uses as much as digits as its factorization.

10202100120013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10202100120013 its reverse (31002100120201), we get a palindrome (41204200240214).

The spelling of 10202100120013 in words is "ten trillion, two hundred two billion, one hundred million, one hundred twenty thousand, thirteen".