10201010012013 has 16 divisors (see below), whose sum is σ = 13623505496640. Its totient is φ = 6789595970304.

The previous prime is 10201010012009. The next prime is 10201010012077. The reversal of 10201010012013 is 31021001010201.

It is not a de Polignac number, because 10201010012013 - 2² = 10201010012009 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10201010012013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201010010013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20240245 + ... + 20738117.

It is an arithmetic number, because the mean of its divisors is an integer number (851469093540).

Almost surely, 2^{10201010012013} is an apocalyptic number.

It is an amenable number.

10201010012013 is a deficient number, since it is larger than the sum of its proper divisors (3422495484627).

10201010012013 is a wasteful number, since it uses less digits than its factorization.

10201010012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508988.

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

Adding to 10201010012013 its reverse (31021001010201), we get a palindrome (41222011022214).

The spelling of 10201010012013 in words is "ten trillion, two hundred one billion, ten million, twelve thousand, thirteen".