21000010013 has 8 divisors (see below), whose sum is σ = 21064969536. Its totient is φ = 20935152000.

The previous prime is 21000010001. The next prime is 21000010037. The reversal of 21000010013 is 31001000012.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 21000010013 - 2⁴ = 21000009997 is a prime.

It is a super-2 number, since 2×21000010013² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000010093) 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 7 ways as a sum of consecutive naturals, for example, 399938 + ... + 449388.

It is an arithmetic number, because the mean of its divisors is an integer number (2633121192).

Almost surely, 2^21000010013 is an apocalyptic number.

It is an amenable number.

21000010013 is a deficient number, since it is larger than the sum of its proper divisors (64959523).

21000010013 is an equidigital number, since it uses as much as digits as its factorization.

21000010013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50755.

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

Adding to 21000010013 its reverse (31001000012), we get a palindrome (52001010025).

The spelling of 21000010013 in words is "twenty-one billion, ten thousand, thirteen".