2000123313313 has 2 divisors, whose sum is σ = 2000123313314. Its totient is φ = 2000123313312.

The previous prime is 2000123313289. The next prime is 2000123313341. The reversal of 2000123313313 is 3133133210002.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1919823622929 + 80299690384 = 1385577^2 + 283372^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000123313313 - 2¹⁷ = 2000123182241 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000123313343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000061656656 + 1000061656657.

It is an arithmetic number, because the mean of its divisors is an integer number (1000061656657).

Almost surely, 2^{2000123313313} is an apocalyptic number.

It is an amenable number.

2000123313313 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000123313313 is an equidigital number, since it uses as much as digits as its factorization.

2000123313313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 2000123313313 its reverse (3133133210002), we get a palindrome (5133256523315).

The spelling of 2000123313313 in words is "two trillion, one hundred twenty-three million, three hundred thirteen thousand, three hundred thirteen".