21513000000 has 392 divisors, whose sum is σ = 72865317312. Its totient is φ = 5600000000.

The previous prime is 21512999951. The next prime is 21513000011. The reversal of 21513000000 is 31512.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 21513000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 212999950 + ... + 213000050.

Almost surely, 2^21513000000 is an apocalyptic number.

21513000000 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 21513000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36432658656).

21513000000 is an abundant number, since it is smaller than the sum of its proper divisors (51352317312).

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

21513000000 is an frugal number, since it uses more digits than its factorization.

21513000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

Adding to 21513000000 its reverse (31512), we get a palindrome (21513031512).

The spelling of 21513000000 in words is "twenty-one billion, five hundred thirteen million", and thus it is an aban number.