202143131120 has 160 divisors (see below), whose sum is σ = 541765324800. Its totient is φ = 68709888000.

The previous prime is 202143131077. The next prime is 202143131129. The reversal of 202143131120 is 21131341202.

202143131120 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 202143131092 and 202143131101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202143131129) 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, 31341656 + ... + 31348104.

It is an arithmetic number, because the mean of its divisors is an integer number (3386033280).

Almost surely, 2^202143131120 is an apocalyptic number.

202143131120 is a gapful number since it is divisible by the number (20) 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 202143131120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270882662400).

202143131120 is an abundant number, since it is smaller than the sum of its proper divisors (339622193680).

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

202143131120 is a wasteful number, since it uses less digits than its factorization.

202143131120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6943 (or 6937 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 202143131120 its reverse (21131341202), we get a palindrome (223274472322).

The spelling of 202143131120 in words is "two hundred two billion, one hundred forty-three million, one hundred thirty-one thousand, one hundred twenty".