202131030312 has 128 divisors (see below), whose sum is σ = 581613264000. Its totient is φ = 64966648320.

The previous prime is 202131030287. The next prime is 202131030313. The reversal of 202131030312 is 213030131202.

202131030312 is a `hidden beast` number, since 20 + 21 + 310 + 3 + 0 + 312 = 666.

202131030312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (202131030313) 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 31 ways as a sum of consecutive naturals, for example, 4745703 + ... + 4788105.

It is an arithmetic number, because the mean of its divisors is an integer number (4543853625).

Almost surely, 2^202131030312 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 202131030312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290806632000).

202131030312 is an abundant number, since it is smaller than the sum of its proper divisors (379482233688).

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

202131030312 is a wasteful number, since it uses less digits than its factorization.

202131030312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43208 (or 43198 counting only the distinct ones).

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

Adding to 202131030312 its reverse (213030131202), we get a palindrome (415161161514).

It can be divided in two parts, 20213 and 1030312, that added together give a triangular number (1050525 = T₁₄₄₉).

The spelling of 202131030312 in words is "two hundred two billion, one hundred thirty-one million, thirty thousand, three hundred twelve".