2010000100013 has 4 divisors (see below), whose sum is σ = 2011945890108. Its totient is φ = 2008054309920.

The previous prime is 2010000100001. The next prime is 2010000100019. The reversal of 2010000100013 is 3100010000102.

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 1411919050564 + 598081049449 = 1188242^2 + 773357^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010000100013 - 2³⁴ = 1992820230829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010000100019) 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, 972893498 + ... + 972895563.

It is an arithmetic number, because the mean of its divisors is an integer number (502986472527).

Almost surely, 2^{2010000100013} is an apocalyptic number.

It is an amenable number.

2010000100013 is a deficient number, since it is larger than the sum of its proper divisors (1945790095).

2010000100013 is a wasteful number, since it uses less digits than its factorization.

2010000100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945790094.

The product of its (nonzero) digits is 6, while the sum is 8.

Adding to 2010000100013 its reverse (3100010000102), we get a palindrome (5110010100115).

The spelling of 2010000100013 in words is "two trillion, ten billion, one hundred thousand, thirteen".