4002202313 has 12 divisors (see below), whose sum is σ = 4226974020. Its totient is φ = 3788829216.

The previous prime is 4002202307. The next prime is 4002202319. The reversal of 4002202313 is 3132022004.

4002202313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4002202307) and next prime (4002202319).

It can be written as a sum of positive squares in 2 ways, for example, as 2854551184 + 1147651129 = 53428^2 + 33877^2 .

It is not a de Polignac number, because 4002202313 - 2¹² = 4002198217 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 4002202291 and 4002202300.

It is not an unprimeable number, because it can be changed into a prime (4002202319) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642731 + ... + 648927.

It is an arithmetic number, because the mean of its divisors is an integer number (352247835).

Almost surely, 2^4002202313 is an apocalyptic number.

It is an amenable number.

4002202313 is a deficient number, since it is larger than the sum of its proper divisors (224771707).

4002202313 is a wasteful number, since it uses less digits than its factorization.

4002202313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8024 (or 8005 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 4002202313 is about 63262.9616205248. The cubic root of 4002202313 is about 1587.6923280157.

Adding to 4002202313 its reverse (3132022004), we get a palindrome (7134224317).

The spelling of 4002202313 in words is "four billion, two million, two hundred two thousand, three hundred thirteen".