21300000000312 has 128 divisors (see below), whose sum is σ = 59185243710720. Its totient is φ = 6334083840000.

The previous prime is 21300000000311. The next prime is 21300000000317.

It is a happy number.

21300000000312 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 not an unprimeable number, because it can be changed into a prime (21300000000311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 521614 + ... + 6547677.

It is an arithmetic number, because the mean of its divisors is an integer number (462384716490).

Almost surely, 2^{21300000000312} is an apocalyptic number.

21300000000312 is a gapful number since it is divisible by the number (22) 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 21300000000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29592621855360).

21300000000312 is an abundant number, since it is smaller than the sum of its proper divisors (37885243710408).

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

21300000000312 is a wasteful number, since it uses less digits than its factorization.

21300000000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7069525 (or 7069521 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, 21300000000 and 312, that added together give a palindrome (21300000312).

The spelling of 21300000000312 in words is "twenty-one trillion, three hundred billion, three hundred twelve", and thus it is an aban number.