4000021013 has 2 divisors, whose sum is σ = 4000021014. Its totient is φ = 4000021012.

The previous prime is 4000021007. The next prime is 4000021019. The reversal of 4000021013 is 3101200004.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (4000021007) and next prime (4000021019).

It can be written as a sum of positive squares in only one way, i.e., 3809111524 + 190909489 = 61718^2 + 13817^2 .

It is a cyclic number.

It is not a de Polignac number, because 4000021013 - 2²⁶ = 3932912149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4000020985 and 4000021003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4000021019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2000010506 + 2000010507.

It is an arithmetic number, because the mean of its divisors is an integer number (2000010507).

Almost surely, 2^4000021013 is an apocalyptic number.

It is an amenable number.

4000021013 is a deficient number, since it is larger than the sum of its proper divisors (1).

4000021013 is an equidigital number, since it uses as much as digits as its factorization.

4000021013 is an odious number, because the sum of its binary digits is odd.

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

The square root of 4000021013 is about 63245.7193255006. The cubic root of 4000021013 is about 1587.4038316349.

Adding to 4000021013 its reverse (3101200004), we get a palindrome (7101221017).

The spelling of 4000021013 in words is "four billion, twenty-one thousand, thirteen".