21312020130000 has 200 divisors, whose sum is σ = 72418994128800. Its totient is φ = 5384089152000.

The previous prime is 21312020129831. The next prime is 21312020130001. The reversal of 21312020130000 is 3102021312.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21312020130001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18124755 + ... + 19264754.

It is an arithmetic number, because the mean of its divisors is an integer number (362094970644).

Almost surely, 2^{21312020130000} is an apocalyptic number.

21312020130000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312020130000 is an abundant number, since it is smaller than the sum of its proper divisors (51106973998800).

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

21312020130000 is a wasteful number, since it uses less digits than its factorization.

21312020130000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37389559 (or 37389538 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21312020130000 its reverse (3102021312), we get a palindrome (21315122151312).

The spelling of 21312020130000 in words is "twenty-one trillion, three hundred twelve billion, twenty million, one hundred thirty thousand".