2000000013013 has 4 divisors (see below), whose sum is σ = 2117647072620. Its totient is φ = 1882352953408.

The previous prime is 2000000013007. The next prime is 2000000013103. The reversal of 2000000013013 is 3103100000002.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 560571156369 + 1439428856644 = 748713^2 + 1199762^2 .

It is a cyclic number.

It is not a de Polignac number, because 2000000013013 - 2¹⁷ = 1999999881941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000000013313) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 58823529778 + ... + 58823529811.

It is an arithmetic number, because the mean of its divisors is an integer number (529411768155).

Almost surely, 2^{2000000013013} is an apocalyptic number.

It is an amenable number.

2000000013013 is a deficient number, since it is larger than the sum of its proper divisors (117647059607).

2000000013013 is a wasteful number, since it uses less digits than its factorization.

2000000013013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117647059606.

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 2000000013013 its reverse (3103100000002), we get a palindrome (5103100013015).

The spelling of 2000000013013 in words is "two trillion, thirteen thousand, thirteen".