220205013 has 32 divisors (see below), whose sum is σ = 352413696. Its totient is φ = 119579328.

The previous prime is 220204939. The next prime is 220205017. The reversal of 220205013 is 310502022.

It is not a de Polignac number, because 220205013 - 2¹⁸ = 219942869 is a prime.

It is a super-3 number, since 3×220205013³ (a number of 26 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 220204983 and 220205001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220205017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77331 + ... + 80127.

It is an arithmetic number, because the mean of its divisors is an integer number (11012928).

Almost surely, 2^220205013 is an apocalyptic number.

220205013 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

220205013 is a deficient number, since it is larger than the sum of its proper divisors (132208683).

220205013 is a wasteful number, since it uses less digits than its factorization.

220205013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2993.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 220205013 is about 14839.3063517133. The cubic root of 220205013 is about 603.8685343526.

Adding to 220205013 its reverse (310502022), we get a palindrome (530707035).

The spelling of 220205013 in words is "two hundred twenty million, two hundred five thousand, thirteen".