21000002010013 has 16 divisors (see below), whose sum is σ = 23038491414400. Its totient is φ = 19023403884480.

The previous prime is 21000002009983. The next prime is 21000002010059. The reversal of 21000002010013 is 31001020000012.

It is a cyclic number.

It is not a de Polignac number, because 21000002010013 - 2³⁷ = 20862563056541 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 (21000002017013) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29813283 + ... + 30509536.

It is an arithmetic number, because the mean of its divisors is an integer number (1439905713400).

Almost surely, 2^{21000002010013} is an apocalyptic number.

It is an amenable number.

21000002010013 is a deficient number, since it is larger than the sum of its proper divisors (2038489404387).

21000002010013 is a wasteful number, since it uses less digits than its factorization.

21000002010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60323332.

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 21000002010013 its reverse (31001020000012), we get a palindrome (52001022010025).

The spelling of 21000002010013 in words is "twenty-one trillion, two million, ten thousand, thirteen".