2002202312113 has 2 divisors, whose sum is σ = 2002202312114. Its totient is φ = 2002202312112.

The previous prime is 2002202312029. The next prime is 2002202312153. The reversal of 2002202312113 is 3112132022002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1291659526144 + 710542785969 = 1136512^2 + 842937^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2002202312113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2002202312153) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001101156056 + 1001101156057.

It is an arithmetic number, because the mean of its divisors is an integer number (1001101156057).

Almost surely, 2^{2002202312113} is an apocalyptic number.

It is an amenable number.

2002202312113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002202312113 is an equidigital number, since it uses as much as digits as its factorization.

2002202312113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2002202312113 its reverse (3112132022002), we get a palindrome (5114334334115).

The spelling of 2002202312113 in words is "two trillion, two billion, two hundred two million, three hundred twelve thousand, one hundred thirteen".