2000313302513 has 2 divisors, whose sum is σ = 2000313302514. Its totient is φ = 2000313302512.

The previous prime is 2000313302483. The next prime is 2000313302531. The reversal of 2000313302513 is 3152033130002.

Together with next prime (2000313302531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1927385219809 + 72928082704 = 1388303^2 + 270052^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000313302513 - 2⁸ = 2000313302257 is a prime.

It is not a weakly prime, because it can be changed into another prime (2000313305513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000156651256 + 1000156651257.

It is an arithmetic number, because the mean of its divisors is an integer number (1000156651257).

Almost surely, 2^{2000313302513} is an apocalyptic number.

It is an amenable number.

2000313302513 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000313302513 is an equidigital number, since it uses as much as digits as its factorization.

2000313302513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 2000313302513 its reverse (3152033130002), we get a palindrome (5152346432515).

The spelling of 2000313302513 in words is "two trillion, three hundred thirteen million, three hundred two thousand, five hundred thirteen".