202102131312 has 120 divisors (see below), whose sum is σ = 568743602544. Its totient is φ = 66994470912.

The previous prime is 202102131311. The next prime is 202102131349. The reversal of 202102131312 is 213131201202.

202102131312 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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202102131311) 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 23 ways as a sum of consecutive naturals, for example, 24162043 + ... + 24170405.

Almost surely, 2^202102131312 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 202102131312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284371801272).

202102131312 is an abundant number, since it is smaller than the sum of its proper divisors (366641471232).

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

202102131312 is a wasteful number, since it uses less digits than its factorization.

202102131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9287 (or 9278 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 202102131312 its reverse (213131201202), we get a palindrome (415233332514).

The spelling of 202102131312 in words is "two hundred two billion, one hundred two million, one hundred thirty-one thousand, three hundred twelve".