4002220020213 has 16 divisors (see below), whose sum is σ = 6067103563840. Its totient is φ = 2606096756592.

The previous prime is 4002220020199. The next prime is 4002220020223. The reversal of 4002220020213 is 3120200222004.

4002220020213 is a `hidden beast` number, since 400 + 2 + 220 + 0 + 20 + 21 + 3 = 666.

It is not a de Polignac number, because 4002220020213 - 2⁸ = 4002220019957 is a prime.

It is a super-2 number, since 2×4002220020213² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002220020223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1723607806 + ... + 1723610127.

It is an arithmetic number, because the mean of its divisors is an integer number (379193972740).

Almost surely, 2^{4002220020213} is an apocalyptic number.

4002220020213 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

4002220020213 is a deficient number, since it is larger than the sum of its proper divisors (2064883543627).

4002220020213 is a wasteful number, since it uses less digits than its factorization.

4002220020213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447217985 (or 3447217979 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 4002220020213 its reverse (3120200222004), we get a palindrome (7122420242217).

The spelling of 4002220020213 in words is "four trillion, two billion, two hundred twenty million, twenty thousand, two hundred thirteen".