20002010100113 has 4 divisors (see below), whose sum is σ = 20002027210608. Its totient is φ = 20001992989620.

The previous prime is 20002010100071. The next prime is 20002010100133. The reversal of 20002010100113 is 31100101020002.

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 20002010100113 - 2⁸ = 20002010099857 is a prime.

It is a super-2 number, since 2×20002010100113² (a number of 27 digits) contains 22 as substring.

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 = 20002010100094 and 20002010100103.

It is not an unprimeable number, because it can be changed into a prime (20002010100133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6662123 + ... + 9186288.

It is an arithmetic number, because the mean of its divisors is an integer number (5000506802652).

Almost surely, 2^{20002010100113} is an apocalyptic number.

It is an amenable number.

20002010100113 is a deficient number, since it is larger than the sum of its proper divisors (17110495).

20002010100113 is a wasteful number, since it uses less digits than its factorization.

20002010100113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17110494.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 20002010100113 its reverse (31100101020002), we get a palindrome (51102111120115).

The spelling of 20002010100113 in words is "twenty trillion, two billion, ten million, one hundred thousand, one hundred thirteen".