1000220013 has 24 divisors (see below), whose sum is σ = 1557111192. Its totient is φ = 615040128.

The previous prime is 1000219999. The next prime is 1000220029. The reversal of 1000220013 is 3100220001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5322249 + 994897764 = 2307^2 + 31542^2 .

It is not a de Polignac number, because 1000220013 - 2⁵ = 1000219981 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000219977 and 1000220004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000220093) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200295 + ... + 205227.

It is an arithmetic number, because the mean of its divisors is an integer number (64879633).

Almost surely, 2^1000220013 is an apocalyptic number.

1000220013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1000220013 is a deficient number, since it is larger than the sum of its proper divisors (556891179).

1000220013 is a wasteful number, since it uses less digits than its factorization.

1000220013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685 (or 6682 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1000220013 is about 31626.2551213387. The cubic root of 1000220013 is about 1000.0733322889.

Subtracting from 1000220013 its product of nonzero digits (12), we obtain a palindrome (1000220001).

Adding to 1000220013 its reverse (3100220001), we get a palindrome (4100440014).

The spelling of 1000220013 in words is "one billion, two hundred twenty thousand, thirteen".