10200004132013 has 2 divisors, whose sum is σ = 10200004132014. Its totient is φ = 10200004132012.

The previous prime is 10200004132007. The next prime is 10200004132051. The reversal of 10200004132013 is 31023140000201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9816202818724 + 383801313289 = 3133082^2 + 619517^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200004132013 - 2⁴ = 10200004131997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10200004131982 and 10200004132000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200004132613) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100002066006 + 5100002066007.

It is an arithmetic number, because the mean of its divisors is an integer number (5100002066007).

Almost surely, 2^{10200004132013} is an apocalyptic number.

It is an amenable number.

10200004132013 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200004132013 is an equidigital number, since it uses as much as digits as its factorization.

10200004132013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 10200004132013 its reverse (31023140000201), we get a palindrome (41223144132214).

The spelling of 10200004132013 in words is "ten trillion, two hundred billion, four million, one hundred thirty-two thousand, thirteen".