20102031312 has 160 divisors (see below), whose sum is σ = 60017349120. Its totient is φ = 5733711360.

The previous prime is 20102031311. The next prime is 20102031319. The reversal of 20102031312 is 21313020102.

It is a junction number, because it is equal to n+sod(n) for n = 20102031291 and 20102031300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102031311) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1568643 + ... + 1581405.

It is an arithmetic number, because the mean of its divisors is an integer number (375108432).

Almost surely, 2^20102031312 is an apocalyptic number.

20102031312 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 20102031312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30008674560).

20102031312 is an abundant number, since it is smaller than the sum of its proper divisors (39915317808).

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

20102031312 is a wasteful number, since it uses less digits than its factorization.

20102031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12961 (or 12955 counting only the distinct ones).

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

Adding to 20102031312 its reverse (21313020102), we get a palindrome (41415051414).

The spelling of 20102031312 in words is "twenty billion, one hundred two million, thirty-one thousand, three hundred twelve".