2000101312013 has 16 divisors (see below), whose sum is σ = 2292249373440. Its totient is φ = 1709560169856.

The previous prime is 2000101311947. The next prime is 2000101312031. The reversal of 2000101312013 is 3102131010002.

It is not a de Polignac number, because 2000101312013 - 2¹⁰ = 2000101310989 is a prime.

It is a super-2 number, since 2×2000101312013² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000101312093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11697545 + ... + 11867297.

It is an arithmetic number, because the mean of its divisors is an integer number (143265585840).

Almost surely, 2^{2000101312013} is an apocalyptic number.

It is an amenable number.

2000101312013 is a deficient number, since it is larger than the sum of its proper divisors (292148061427).

2000101312013 is a wasteful number, since it uses less digits than its factorization.

2000101312013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174476.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 2000101312013 its reverse (3102131010002), we get a palindrome (5102232322015).

The spelling of 2000101312013 in words is "two trillion, one hundred one million, three hundred twelve thousand, thirteen".