10200106510013 has 4 divisors (see below), whose sum is σ = 11657264582880. Its totient is φ = 8742948437148.

The previous prime is 10200106510003. The next prime is 10200106510057. The reversal of 10200106510013 is 31001560100201.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10200106510013 - 2⁶ = 10200106509949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200106510003) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 728579036423 + ... + 728579036436.

It is an arithmetic number, because the mean of its divisors is an integer number (2914316145720).

Almost surely, 2^{10200106510013} is an apocalyptic number.

It is an amenable number.

10200106510013 is a deficient number, since it is larger than the sum of its proper divisors (1457158072867).

10200106510013 is an equidigital number, since it uses as much as digits as its factorization.

10200106510013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457158072866.

The product of its (nonzero) digits is 180, while the sum is 20.

Adding to 10200106510013 its reverse (31001560100201), we get a palindrome (41201666610214).

The spelling of 10200106510013 in words is "ten trillion, two hundred billion, one hundred six million, five hundred ten thousand, thirteen".