2000013000021 has 24 divisors (see below), whose sum is σ = 2937075748256. Its totient is φ = 1311122622240.

The previous prime is 2000012999939. The next prime is 2000013000043. The reversal of 2000013000021 is 1200003100002.

It is a happy number.

2000013000021 is a nontrivial binomial coefficient, being equal to C(2000007, 2).

It is not a de Polignac number, because 2000013000021 - 2⁷ = 2000012999893 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2000012999967 and 2000013000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2000013000221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1500006 + ... + 2500008.

Almost surely, 2^{2000013000021} is an apocalyptic number.

2000013000021 is the 2000006-th triangular number.

It is an amenable number.

2000013000021 is a deficient number, since it is larger than the sum of its proper divisors (937062748235).

2000013000021 is a wasteful number, since it uses less digits than its factorization.

2000013000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003713 (or 1003710 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 2000013000021 its reverse (1200003100002), we get a palindrome (3200016100023).

The spelling of 2000013000021 in words is "two trillion, thirteen million, twenty-one", and thus it is an aban number and an uban number.