2002313121233 has 2 divisors, whose sum is σ = 2002313121234. Its totient is φ = 2002313121232.

The previous prime is 2002313121217. The next prime is 2002313121253. The reversal of 2002313121233 is 3321213132002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1447514578129 + 554798543104 = 1203127^2 + 744848^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002313121233 - 2⁴ = 2002313121217 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002313121199 and 2002313121208.

It is not a weakly prime, because it can be changed into another prime (2002313121253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001156560616 + 1001156560617.

It is an arithmetic number, because the mean of its divisors is an integer number (1001156560617).

Almost surely, 2^{2002313121233} is an apocalyptic number.

It is an amenable number.

2002313121233 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002313121233 is an equidigital number, since it uses as much as digits as its factorization.

2002313121233 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2002313121233 its reverse (3321213132002), we get a palindrome (5323526253235).

The spelling of 2002313121233 in words is "two trillion, two billion, three hundred thirteen million, one hundred twenty-one thousand, two hundred thirty-three".