2000121313 has 2 divisors, whose sum is σ = 2000121314. Its totient is φ = 2000121312.

The previous prime is 2000121287. The next prime is 2000121323. The reversal of 2000121313 is 3131210002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1248703569 + 751417744 = 35337^2 + 27412^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2000121313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2000121293 and 2000121302.

It is not a weakly prime, because it can be changed into another prime (2000121323) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000060656 + 1000060657.

It is an arithmetic number, because the mean of its divisors is an integer number (1000060657).

Almost surely, 2^2000121313 is an apocalyptic number.

It is an amenable number.

2000121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000121313 is an equidigital number, since it uses as much as digits as its factorization.

2000121313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 2000121313 is about 44722.7158500018. The cubic root of 2000121313 is about 1259.9465235136.

Adding to 2000121313 its reverse (3131210002), we get a palindrome (5131331315).

It can be divided in two parts, 20001 and 21313, that added together give a palindrome (41314).

The spelling of 2000121313 in words is "two billion, one hundred twenty-one thousand, three hundred thirteen".