2000414442313 has 6 divisors (see below), whose sum is σ = 2327012718666. Its totient is φ = 1714640950512.

The previous prime is 2000414442253. The next prime is 2000414442347. The reversal of 2000414442313 is 3132444140002.

It can be written as a sum of positive squares in only one way, i.e., 1700238660624 + 300175781689 = 1303932^2 + 547883^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2000414442313 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2000414442613) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20412392220 + ... + 20412392317.

It is an arithmetic number, because the mean of its divisors is an integer number (387835453111).

Almost surely, 2^{2000414442313} is an apocalyptic number.

It is an amenable number.

2000414442313 is a deficient number, since it is larger than the sum of its proper divisors (326598276353).

2000414442313 is an equidigital number, since it uses as much as digits as its factorization.

2000414442313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40824784551 (or 40824784544 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2000414442313 its reverse (3132444140002), we get a palindrome (5132858582315).

The spelling of 2000414442313 in words is "two trillion, four hundred fourteen million, four hundred forty-two thousand, three hundred thirteen".