21300000312 has 64 divisors (see below), whose sum is σ = 57245299200. Its totient is φ = 6583196160.

The previous prime is 21300000263. The next prime is 21300000341.

It is a happy number.

21300000312 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 475489 + ... + 518352.

It is an arithmetic number, because the mean of its divisors is an integer number (894457800).

Almost surely, 2^21300000312 is an apocalyptic number.

It is an amenable number.

21300000312 is an abundant number, since it is smaller than the sum of its proper divisors (35945298888).

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

21300000312 is a wasteful number, since it uses less digits than its factorization.

21300000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993916 (or 993912 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

It can be divided in two parts, 21300000 and 312, that added together give a palindrome (21300312).

The spelling of 21300000312 in words is "twenty-one billion, three hundred million, three hundred twelve", and thus it is an aban number.