21013000000 has 98 divisors (see below), whose sum is σ = 52123903118. Its totient is φ = 8404800000.

The previous prime is 21012999977. The next prime is 21013000009. The reversal of 21013000000 is 31012.

It can be written as a sum of positive squares in 7 ways, for example, as 17506465344 + 3506534656 = 132312^2 + 59216^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21013000009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 989494 + ... + 1010506.

Almost surely, 2^21013000000 is an apocalyptic number.

21013000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21013000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26061951559).

21013000000 is an abundant number, since it is smaller than the sum of its proper divisors (31110903118).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21013000000 is an frugal number, since it uses more digits than its factorization.

21013000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21055 (or 21020 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 21013000000 its reverse (31012), we get a palindrome (21013031012).

The spelling of 21013000000 in words is "twenty-one billion, thirteen million", and thus it is an aban number and an uban number.