2000013122313 has 12 divisors (see below), whose sum is σ = 2896184694468. Its totient is φ = 1329983534880.

The previous prime is 2000013122293. The next prime is 2000013122321. The reversal of 2000013122313 is 3132213100002.

2000013122313 is a `hidden beast` number, since 200 + 0 + 0 + 131 + 22 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1103861219904 + 896151902409 = 1050648^2 + 946653^2 .

It is not a de Polignac number, because 2000013122313 - 2⁶ = 2000013122249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2000013122363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279875118 + ... + 279882263.

It is an arithmetic number, because the mean of its divisors is an integer number (241348724539).

Almost surely, 2^{2000013122313} is an apocalyptic number.

It is an amenable number.

2000013122313 is a deficient number, since it is larger than the sum of its proper divisors (896171572155).

2000013122313 is a wasteful number, since it uses less digits than its factorization.

2000013122313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559757784 (or 559757781 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 2000013122313 its reverse (3132213100002), we get a palindrome (5132226222315).

The spelling of 2000013122313 in words is "two trillion, thirteen million, one hundred twenty-two thousand, three hundred thirteen".