21013330000 has 100 divisors (see below), whose sum is σ = 54789202468. Its totient is φ = 7758720000.

The previous prime is 21013329937. The next prime is 21013330021. The reversal of 21013330000 is 3331012.

It can be written as a sum of positive squares in 10 ways, for example, as 19849428544 + 1163901456 = 140888^2 + 34116^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49180 + ... + 210820.

Almost surely, 2^21013330000 is an apocalyptic number.

21013330000 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 21013330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27394601234).

21013330000 is an abundant number, since it is smaller than the sum of its proper divisors (33775872468).

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

21013330000 is a wasteful number, since it uses less digits than its factorization.

21013330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161682 (or 161661 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

Adding to 21013330000 its reverse (3331012), we get a palindrome (21016661012).

The spelling of 21013330000 in words is "twenty-one billion, thirteen million, three hundred thirty thousand".