4002421013 has 2 divisors, whose sum is σ = 4002421014. Its totient is φ = 4002421012.

The previous prime is 4002421001. The next prime is 4002421019. The reversal of 4002421013 is 3101242004.

4002421013 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2522249284 + 1480171729 = 50222^2 + 38473^2 .

It is a cyclic number.

It is not a de Polignac number, because 4002421013 - 2¹⁰ = 4002419989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4002420982 and 4002421000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4002421019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001210506 + 2001210507.

It is an arithmetic number, because the mean of its divisors is an integer number (2001210507).

Almost surely, 2^4002421013 is an apocalyptic number.

It is an amenable number.

4002421013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002421013 is an equidigital number, since it uses as much as digits as its factorization.

4002421013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 4002421013 is about 63264.6900964511. The cubic root of 4002421013 is about 1587.7212472591.

Adding to 4002421013 its reverse (3101242004), we get a palindrome (7103663017).

The spelling of 4002421013 in words is "four billion, two million, four hundred twenty-one thousand, thirteen".