220100200013 has 16 divisors (see below), whose sum is σ = 238160321280. Its totient is φ = 202613922816.

The previous prime is 220100200003. The next prime is 220100200027. The reversal of 220100200013 is 310002001022.

It is a happy number.

It is not a de Polignac number, because 220100200013 - 2¹⁶ = 220100134477 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 220100199967 and 220100200003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220100200003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1152158 + ... + 1329536.

It is an arithmetic number, because the mean of its divisors is an integer number (14885020080).

Almost surely, 2^220100200013 is an apocalyptic number.

It is an amenable number.

220100200013 is a deficient number, since it is larger than the sum of its proper divisors (18060121267).

220100200013 is a wasteful number, since it uses less digits than its factorization.

220100200013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178996.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 220100200013 its reverse (310002001022), we get a palindrome (530102201035).

The spelling of 220100200013 in words is "two hundred twenty billion, one hundred million, two hundred thousand, thirteen".