20321313012 has 288 divisors, whose sum is σ = 70837987584. Its totient is φ = 4740249600.

The previous prime is 20321313007. The next prime is 20321313013. The reversal of 20321313012 is 21031312302.

20321313012 is a `hidden beast` number, since 20 + 321 + 313 + 0 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20321313013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1325712 + ... + 1340952.

Almost surely, 2^20321313012 is an apocalyptic number.

20321313012 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 20321313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35418993792).

20321313012 is an abundant number, since it is smaller than the sum of its proper divisors (50516674572).

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

20321313012 is a wasteful number, since it uses less digits than its factorization.

20321313012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15319 (or 15314 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 20321313012 its reverse (21031312302), we get a palindrome (41352625314).

It can be divided in two parts, 203213 and 13012, that added together give a square (216225 = 465²).

The spelling of 20321313012 in words is "twenty billion, three hundred twenty-one million, three hundred thirteen thousand, twelve".