202131132032 has 64 divisors (see below), whose sum is σ = 411744866760. Its totient is φ = 98804858880.

The previous prime is 202131132019. The next prime is 202131132067. The reversal of 202131132032 is 230231131202.

202131132032 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 167555960896 + 34575171136 = 409336^2 + 185944^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 202131131995 and 202131132013.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1853288 + ... + 1959320.

Almost surely, 2^202131132032 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 202131132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205872433380).

202131132032 is an abundant number, since it is smaller than the sum of its proper divisors (209613734728).

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

202131132032 is a wasteful number, since it uses less digits than its factorization.

202131132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106381 (or 106369 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 202131132032 its reverse (230231131202), we get a palindrome (432362263234).

The spelling of 202131132032 in words is "two hundred two billion, one hundred thirty-one million, one hundred thirty-two thousand, thirty-two".