20132331312312 has 160 divisors (see below), whose sum is σ = 58325342755680. Its totient is φ = 6483534658560.

The previous prime is 20132331312311. The next prime is 20132331312329. The reversal of 20132331312312 is 21321313323102.

20132331312312 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 2 + 3 + 31 + 312 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20132331312311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 941973 + ... + 6414980.

It is an arithmetic number, because the mean of its divisors is an integer number (364533392223).

Almost surely, 2^{20132331312312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20132331312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29162671377840).

20132331312312 is an abundant number, since it is smaller than the sum of its proper divisors (38193011443368).

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

20132331312312 is a wasteful number, since it uses less digits than its factorization.

20132331312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7357115 (or 7357102 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 20132331312312 its reverse (21321313323102), we get a palindrome (41453644635414).

The spelling of 20132331312312 in words is "twenty trillion, one hundred thirty-two billion, three hundred thirty-one million, three hundred twelve thousand, three hundred twelve".