21013312000 has 80 divisors (see below), whose sum is σ = 52398166392. Its totient is φ = 8405299200.

The previous prime is 21013311983. The next prime is 21013312007. The reversal of 21013312000 is 21331012.

It can be written as a sum of positive squares in 4 ways, for example, as 14136258816 + 6877053184 = 118896^2 + 82928^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21013312007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 100167 + ... + 228166.

Almost surely, 2^21013312000 is an apocalyptic number.

21013312000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21013312000 is an abundant number, since it is smaller than the sum of its proper divisors (31384854392).

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

21013312000 is an frugal number, since it uses more digits than its factorization.

21013312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328366 (or 328340 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 21013312000 its reverse (21331012), we get a palindrome (21034643012).

The spelling of 21013312000 in words is "twenty-one billion, thirteen million, three hundred twelve thousand".