10201000111013 has 4 divisors (see below), whose sum is σ = 10202415547680. Its totient is φ = 10199584674348.

The previous prime is 10201000110997. The next prime is 10201000111031. The reversal of 10201000111013 is 31011100010201.

It is a happy number.

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 10201000111013 - 2⁴ = 10201000110997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10201000110985 and 10201000111003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201000111033) 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, 707707523 + ... + 707721936.

It is an arithmetic number, because the mean of its divisors is an integer number (2550603886920).

Almost surely, 2^{10201000111013} is an apocalyptic number.

It is an amenable number.

10201000111013 is a deficient number, since it is larger than the sum of its proper divisors (1415436667).

10201000111013 is an equidigital number, since it uses as much as digits as its factorization.

10201000111013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415436666.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10201000111013 its reverse (31011100010201), we get a palindrome (41212100121214).

The spelling of 10201000111013 in words is "ten trillion, two hundred one billion, one hundred eleven thousand, thirteen".