4002112313 has 2 divisors, whose sum is σ = 4002112314. Its totient is φ = 4002112312.

The previous prime is 4002112267. The next prime is 4002112319. The reversal of 4002112313 is 3132112004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2776552249 + 1225560064 = 52693^2 + 35008^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4002112313 is a prime.

It is a super-3 number, since 3×4002112313³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4002112291 and 4002112300.

It is not a weakly prime, because it can be changed into another prime (4002112319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2001056156 + 2001056157.

It is an arithmetic number, because the mean of its divisors is an integer number (2001056157).

Almost surely, 2^4002112313 is an apocalyptic number.

It is an amenable number.

4002112313 is a deficient number, since it is larger than the sum of its proper divisors (1).

4002112313 is an equidigital number, since it uses as much as digits as its factorization.

4002112313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4002112313 is about 63262.2502998431. The cubic root of 4002112313 is about 1587.6804267866.

Adding to 4002112313 its reverse (3132112004), we get a palindrome (7134224317).

The spelling of 4002112313 in words is "four billion, two million, one hundred twelve thousand, three hundred thirteen".