4002226313 has 2 divisors, whose sum is σ = 4002226314. Its totient is φ = 4002226312.

The previous prime is 4002226273. The next prime is 4002226337. The reversal of 4002226313 is 3136222004.

4002226313 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., 3125592649 + 876633664 = 55907^2 + 29608^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4002226313 is a prime.

It is not a weakly prime, because it can be changed into another prime (4002226213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001113156 + 2001113157.

It is an arithmetic number, because the mean of its divisors is an integer number (2001113157).

Almost surely, 2^4002226313 is an apocalyptic number.

It is an amenable number.

4002226313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002226313 is an equidigital number, since it uses as much as digits as its factorization.

4002226313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 4002226313 is about 63263.1513046892. The cubic root of 4002226313 is about 1587.6955016467.

Adding to 4002226313 its reverse (3136222004), we get a palindrome (7138448317).

The spelling of 4002226313 in words is "four billion, two million, two hundred twenty-six thousand, three hundred thirteen".