20321314000 has 80 divisors (see below), whose sum is σ = 52916769360. Its totient is φ = 7503244800.

The previous prime is 20321313977. The next prime is 20321314003. The reversal of 20321314000 is 41312302.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13421685904 + 6899628096 = 115852^2 + 83064^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321314003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 364795 + ... + 416794.

It is an arithmetic number, because the mean of its divisors is an integer number (661459617).

Almost surely, 2^20321314000 is an apocalyptic number.

20321314000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20321314000 is an abundant number, since it is smaller than the sum of its proper divisors (32595455360).

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

20321314000 is a wasteful number, since it uses less digits than its factorization.

20321314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781625 (or 781609 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20321314000 its reverse (41312302), we get a palindrome (20362626302).

The spelling of 20321314000 in words is "twenty billion, three hundred twenty-one million, three hundred fourteen thousand".