2000918208013 has 2 divisors, whose sum is σ = 2000918208014. Its totient is φ = 2000918208012.

The previous prime is 2000918207947. The next prime is 2000918208031. The reversal of 2000918208013 is 3108028190002.

Together with next prime (2000918208031) 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., 1943422800489 + 57495407524 = 1394067^2 + 239782^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000918208013 - 2¹³ = 2000918199821 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2000918208013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2000918208053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000459104006 + 1000459104007.

It is an arithmetic number, because the mean of its divisors is an integer number (1000459104007).

Almost surely, 2^{2000918208013} is an apocalyptic number.

It is an amenable number.

2000918208013 is a deficient number, since it is larger than the sum of its proper divisors (1).

2000918208013 is an equidigital number, since it uses as much as digits as its factorization.

2000918208013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 2000918208013 in words is "two trillion, nine hundred eighteen million, two hundred eight thousand, thirteen".